What is the Greatest Common Factor of 65616 and 65628?

Greatest common factor (GCF) of 65616 and 65628 is 12.

GCF(65616,65628) = 12

We will now calculate the prime factors of 65616 and 65628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65616 and 65628.

How to find the GCF of 65616 and 65628?

We will first find the prime factorization of 65616 and 65628. After we will calculate the factors of 65616 and 65628 and find the biggest common factor number .

Step-1: Prime Factorization of 65616

Prime factors of 65616 are 2, 3, 1367. Prime factorization of 65616 in exponential form is:

65616 = 2⁴ × 3¹ × 1367¹

Step-2: Prime Factorization of 65628

Prime factors of 65628 are 2, 3, 1823. Prime factorization of 65628 in exponential form is:

65628 = 2² × 3² × 1823¹

Step-3: Factors of 65616

List of positive integer factors of 65616 that divides 65616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1367, 2734, 4101, 5468, 8202, 10936, 16404, 21872, 32808

Step-4: Factors of 65628

List of positive integer factors of 65628 that divides 65616 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1823, 3646, 5469, 7292, 10938, 16407, 21876, 32814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65616 and 65628. The biggest common factor number is the GCF number.
So the greatest common factor 65616 and 65628 is 12.

Also check out the Least Common Multiple of 65616 and 65628