What is the Greatest Common Factor of 65616 and 65634?

Greatest common factor (GCF) of 65616 and 65634 is 6.

GCF(65616,65634) = 6

We will now calculate the prime factors of 65616 and 65634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65616 and 65634.

How to find the GCF of 65616 and 65634?

We will first find the prime factorization of 65616 and 65634. After we will calculate the factors of 65616 and 65634 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 65634

Prime factors of 65634 are 2, 3, 10939. Prime factorization of 65634 in exponential form is:

65634 = 2¹ × 3¹ × 10939¹

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 65634

List of positive integer factors of 65634 that divides 65616 without a remainder.

1, 2, 3, 6, 10939, 21878, 32817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65616 and 65634. The biggest common factor number is the GCF number.
So the greatest common factor 65616 and 65634 is 6.

Also check out the Least Common Multiple of 65616 and 65634