What is the Greatest Common Factor of 77638 and 77652?

Greatest common factor (GCF) of 77638 and 77652 is 2.

GCF(77638,77652) = 2

We will now calculate the prime factors of 77638 and 77652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77638 and 77652.

How to find the GCF of 77638 and 77652?

We will first find the prime factorization of 77638 and 77652. After we will calculate the factors of 77638 and 77652 and find the biggest common factor number .

Step-1: Prime Factorization of 77638

Prime factors of 77638 are 2, 11, 3529. Prime factorization of 77638 in exponential form is:

77638 = 2¹ × 11¹ × 3529¹

Step-2: Prime Factorization of 77652

Prime factors of 77652 are 2, 3, 719. Prime factorization of 77652 in exponential form is:

77652 = 2² × 3³ × 719¹

Step-3: Factors of 77638

List of positive integer factors of 77638 that divides 77638 without a remainder.

1, 2, 11, 22, 3529, 7058, 38819

Step-4: Factors of 77652

List of positive integer factors of 77652 that divides 77638 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 719, 1438, 2157, 2876, 4314, 6471, 8628, 12942, 19413, 25884, 38826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77638 and 77652. The biggest common factor number is the GCF number.
So the greatest common factor 77638 and 77652 is 2.

Also check out the Least Common Multiple of 77638 and 77652