Greatest Common Factor of 7604 and 7612

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 7604, 7612 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7604 and 7612 is 4.

GCF(7604,7612) = 4

GCF of 7604 and 7612

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

GCF of:
and

Greatest Common Factor of 7604 and 7612

GCF of 7604 and 7612 is 4

Prime Factorization of 7604


2 7604
2 3802
1901 1901
1

Prime factors of 7604 are 2,1901. Prime factorization of 7604 in exponential form is:

7604 = 22×19011

Prime Factorization of 7612


2 7612
2 3806
11 1903
173 173
1

Prime factors of 7612 are 2,11,173. Prime factorization of 7612 in exponential form is:

7612 = 22×111×1731

∴ So by taking common prime factors GCF of 7604 and 7612 is 4

Greatest Common Factor of 7604 and 7612 by matching factors method

Factors of 7604

List of positive integer factors of 7604 that divides 7604 without a remainder.

1,2,4,1901,3802,7604

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Greatest Common Factor

We found the factors and prime factorization of 7604 and 7612. The biggest common factor number is the GCF number.
So the greatest common factor 7604 and 7612 is 4.

Also check out the Least Common Multiple of 7604 and 7612

Properties of GCF 7604 and 7612

(i) The GCF of 7604 and 7612 is associative

GCF of 7604 and 7612 = GCF of 7612 and 7604

Related Greatest Common Factor of 7604

Related Greatest Common Factor of 7612

Frequently Asked Questions on GCF of 7604 and 7612

1. What is the GCF of 7604 and 7612?

Answer: GCF of 7604 and 7612 is 4.

2. What are the Factors of 7604?

Answer: Factors of 7604 are 1, 2, 4, 1901, 3802, 7604. There are 6 integers that are factors of 7604. The greatest factor of 7604 is 7604.

3. What are the Factors of 7612?

Answer: Factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612. There are 12 integers that are factors of 7612. The greatest factor of 7612 is 7612.

4. How to Find the GCF of 7604 and 7612?

Answer:

Greatest Common Factor of 7604 and 7612 = 4

Step 1: Find the prime factorization of 7604

7604 = 2 x 2 x 1901

Step 2: Find the prime factorization of 7612

7612 = 2 x 2 x 11 x 173

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 7604 and 7612 is 4