Greatest Common Factor of 63715 and 63720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 63715, 63720 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 63715 and 63720 is 5.

GCF(63715,63720) = 5

GCF of 63715 and 63720

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 63715 and 63720

GCF of 63715 and 63720 is 5

Prime Factorization of 63715


5 63715
12743 12743
1

Prime factors of 63715 are 5,12743. Prime factorization of 63715 in exponential form is:

63715 = 51×127431

Prime Factorization of 63720


2 63720
2 31860
2 15930
3 7965
3 2655
3 885
5 295
59 59
1

Prime factors of 63720 are 2,3,5,59. Prime factorization of 63720 in exponential form is:

63720 = 23×33×51×591

∴ So by taking common prime factors GCF of 63715 and 63720 is 5

Greatest Common Factor of 63715 and 63720 by matching factors method

Factors of 63715

List of positive integer factors of 63715 that divides 63715 without a remainder.

1,5,12743,63715

Factors of 63720

List of positive integer factors of 63720 that divides 63720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,59,60,72,90,108,118,120,135,177,180,216,236,270,295,354,360,472,531,540,590,708,885,1062,1080,1180,1416,1593,1770,2124,2360,2655,3186,3540,4248,5310,6372,7080,7965,10620,12744,15930,21240,31860,63720

Greatest Common Factor

We found the factors and prime factorization of 63715 and 63720. The biggest common factor number is the GCF number.
So the greatest common factor 63715 and 63720 is 5.

Also check out the Least Common Multiple of 63715 and 63720

Properties of GCF 63715 and 63720

(i) The GCF of 63715 and 63720 is associative

GCF of 63715 and 63720 = GCF of 63720 and 63715

Related Greatest Common Factor of 63715

Related Greatest Common Factor of 63720

Frequently Asked Questions on GCF of 63715 and 63720

1. What is the GCF of 63715 and 63720?

Answer: GCF of 63715 and 63720 is 5.

2. What are the Factors of 63715?

Answer: Factors of 63715 are 1, 5, 12743, 63715. There are 4 integers that are factors of 63715. The greatest factor of 63715 is 63715.

3. What are the Factors of 63720?

Answer: Factors of 63720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 59, 60, 72, 90, 108, 118, 120, 135, 177, 180, 216, 236, 270, 295, 354, 360, 472, 531, 540, 590, 708, 885, 1062, 1080, 1180, 1416, 1593, 1770, 2124, 2360, 2655, 3186, 3540, 4248, 5310, 6372, 7080, 7965, 10620, 12744, 15930, 21240, 31860, 63720. There are 64 integers that are factors of 63720. The greatest factor of 63720 is 63720.

4. How to Find the GCF of 63715 and 63720?

Answer:

Greatest Common Factor of 63715 and 63720 = 5

Step 1: Find the prime factorization of 63715

63715 = 5 x 12743

Step 2: Find the prime factorization of 63720

63720 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 63715 and 63720 is 5