What is the Greatest Common Factor of 7638 and 7646?

Greatest common factor (GCF) of 7638 and 7646 is 2.

GCF(7638,7646) = 2

We will now calculate the prime factors of 7638 and 7646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7638 and 7646.

How to find the GCF of 7638 and 7646?

We will first find the prime factorization of 7638 and 7646. After we will calculate the factors of 7638 and 7646 and find the biggest common factor number .

Step-1: Prime Factorization of 7638

Prime factors of 7638 are 2, 3, 19, 67. Prime factorization of 7638 in exponential form is:

7638 = 2¹ × 3¹ × 19¹ × 67¹

Step-2: Prime Factorization of 7646

Prime factors of 7646 are 2, 3823. Prime factorization of 7646 in exponential form is:

7646 = 2¹ × 3823¹

Step-3: Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819

Step-4: Factors of 7646

List of positive integer factors of 7646 that divides 7638 without a remainder.

1, 2, 3823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7638 and 7646. The biggest common factor number is the GCF number.
So the greatest common factor 7638 and 7646 is 2.

Also check out the Least Common Multiple of 7638 and 7646