Greatest Common Factor of 7614 and 7620

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 7614, 7620 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7614 and 7620 is 6.

GCF(7614,7620) = 6

GCF of 7614 and 7620

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

GCF of:
and

Greatest Common Factor of 7614 and 7620

GCF of 7614 and 7620 is 6

Prime Factorization of 7614


2 7614
3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 7614 are 2,3,47. Prime factorization of 7614 in exponential form is:

7614 = 21×34×471

Prime Factorization of 7620


2 7620
2 3810
3 1905
5 635
127 127
1

Prime factors of 7620 are 2,3,5,127. Prime factorization of 7620 in exponential form is:

7620 = 22×31×51×1271

∴ So by taking common prime factors GCF of 7614 and 7620 is 6

Greatest Common Factor of 7614 and 7620 by matching factors method

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620

Greatest Common Factor

We found the factors and prime factorization of 7614 and 7620. The biggest common factor number is the GCF number.
So the greatest common factor 7614 and 7620 is 6.

Also check out the Least Common Multiple of 7614 and 7620

Properties of GCF 7614 and 7620

(i) The GCF of 7614 and 7620 is associative

GCF of 7614 and 7620 = GCF of 7620 and 7614

Related Greatest Common Factor of 7614

Related Greatest Common Factor of 7620

Frequently Asked Questions on GCF of 7614 and 7620

1. What is the GCF of 7614 and 7620?

Answer: GCF of 7614 and 7620 is 6.

2. What are the Factors of 7614?

Answer: Factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614. There are 20 integers that are factors of 7614. The greatest factor of 7614 is 7614.

3. What are the Factors of 7620?

Answer: Factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620. There are 24 integers that are factors of 7620. The greatest factor of 7620 is 7620.

4. How to Find the GCF of 7614 and 7620?

Answer:

Greatest Common Factor of 7614 and 7620 = 6

Step 1: Find the prime factorization of 7614

7614 = 2 x 3 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 7620

7620 = 2 x 2 x 3 x 5 x 127

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7614 and 7620 is 6