What is the Greatest Common Factor of 7638 and 7652?

Greatest common factor (GCF) of 7638 and 7652 is 2.

GCF(7638,7652) = 2

We will now calculate the prime factors of 7638 and 7652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7638 and 7652.

How to find the GCF of 7638 and 7652?

We will first find the prime factorization of 7638 and 7652. After we will calculate the factors of 7638 and 7652 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 7652

Prime factors of 7652 are 2, 1913. Prime factorization of 7652 in exponential form is:

7652 = 2² × 1913¹

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 7652

List of positive integer factors of 7652 that divides 7638 without a remainder.

1, 2, 4, 1913, 3826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7638 and 7652. The biggest common factor number is the GCF number.
So the greatest common factor 7638 and 7652 is 2.

Also check out the Least Common Multiple of 7638 and 7652