Greatest Common Factor of 63692 and 63700

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 63692, 63700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 63692 and 63700 is 4.

GCF(63692,63700) = 4

GCF of 63692 and 63700

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

GCF of:
and

Greatest Common Factor of 63692 and 63700

GCF of 63692 and 63700 is 4

Prime Factorization of 63692


2 63692
2 31846
15923 15923
1

Prime factors of 63692 are 2,15923. Prime factorization of 63692 in exponential form is:

63692 = 22×159231

Prime Factorization of 63700


2 63700
2 31850
5 15925
5 3185
7 637
7 91
13 13
1

Prime factors of 63700 are 2,5,7,13. Prime factorization of 63700 in exponential form is:

63700 = 22×52×72×131

∴ So by taking common prime factors GCF of 63692 and 63700 is 4

Greatest Common Factor of 63692 and 63700 by matching factors method

Factors of 63692

List of positive integer factors of 63692 that divides 63692 without a remainder.

1,2,4,15923,31846,63692

Factors of 63700

List of positive integer factors of 63700 that divides 63700 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,49,50,52,65,70,91,98,100,130,140,175,182,196,245,260,325,350,364,455,490,637,650,700,910,980,1225,1274,1300,1820,2275,2450,2548,3185,4550,4900,6370,9100,12740,15925,31850,63700

Greatest Common Factor

We found the factors and prime factorization of 63692 and 63700. The biggest common factor number is the GCF number.
So the greatest common factor 63692 and 63700 is 4.

Also check out the Least Common Multiple of 63692 and 63700

Properties of GCF 63692 and 63700

(i) The GCF of 63692 and 63700 is associative

GCF of 63692 and 63700 = GCF of 63700 and 63692

Related Greatest Common Factor of 63692

Related Greatest Common Factor of 63700

Frequently Asked Questions on GCF of 63692 and 63700

1. What is the GCF of 63692 and 63700?

Answer: GCF of 63692 and 63700 is 4.

2. What are the Factors of 63692?

Answer: Factors of 63692 are 1, 2, 4, 15923, 31846, 63692. There are 6 integers that are factors of 63692. The greatest factor of 63692 is 63692.

3. What are the Factors of 63700?

Answer: Factors of 63700 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 49, 50, 52, 65, 70, 91, 98, 100, 130, 140, 175, 182, 196, 245, 260, 325, 350, 364, 455, 490, 637, 650, 700, 910, 980, 1225, 1274, 1300, 1820, 2275, 2450, 2548, 3185, 4550, 4900, 6370, 9100, 12740, 15925, 31850, 63700. There are 54 integers that are factors of 63700. The greatest factor of 63700 is 63700.

4. How to Find the GCF of 63692 and 63700?

Answer:

Greatest Common Factor of 63692 and 63700 = 4

Step 1: Find the prime factorization of 63692

63692 = 2 x 2 x 15923

Step 2: Find the prime factorization of 63700

63700 = 2 x 2 x 5 x 5 x 7 x 7 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 63692 and 63700 is 4