What is the Greatest Common Factor of 7614 and 7628?

Greatest common factor (GCF) of 7614 and 7628 is 2.

GCF(7614,7628) = 2

We will now calculate the prime factors of 7614 and 7628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7614 and 7628.

How to find the GCF of 7614 and 7628?

We will first find the prime factorization of 7614 and 7628. After we will calculate the factors of 7614 and 7628 and find the biggest common factor number .

Step-1: Prime Factorization of 7614

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

7614 = 2¹ × 3⁴ × 47¹

Step-2: Prime Factorization of 7628

Prime factors of 7628 are 2, 1907. Prime factorization of 7628 in exponential form is:

7628 = 2² × 1907¹

Step-3: 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

Step-4: Factors of 7628

List of positive integer factors of 7628 that divides 7614 without a remainder.

1, 2, 4, 1907, 3814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7614 and 7628. The biggest common factor number is the GCF number.
So the greatest common factor 7614 and 7628 is 2.

Also check out the Least Common Multiple of 7614 and 7628