What is the Greatest Common Factor of 65556 and 65568?

Greatest common factor (GCF) of 65556 and 65568 is 12.

GCF(65556,65568) = 12

We will now calculate the prime factors of 65556 and 65568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65556 and 65568.

How to find the GCF of 65556 and 65568?

We will first find the prime factorization of 65556 and 65568. After we will calculate the factors of 65556 and 65568 and find the biggest common factor number .

Step-1: Prime Factorization of 65556

Prime factors of 65556 are 2, 3, 607. Prime factorization of 65556 in exponential form is:

65556 = 2² × 3³ × 607¹

Step-2: Prime Factorization of 65568

Prime factors of 65568 are 2, 3, 683. Prime factorization of 65568 in exponential form is:

65568 = 2⁵ × 3¹ × 683¹

Step-3: Factors of 65556

List of positive integer factors of 65556 that divides 65556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 607, 1214, 1821, 2428, 3642, 5463, 7284, 10926, 16389, 21852, 32778

Step-4: Factors of 65568

List of positive integer factors of 65568 that divides 65556 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 683, 1366, 2049, 2732, 4098, 5464, 8196, 10928, 16392, 21856, 32784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65556 and 65568. The biggest common factor number is the GCF number.
So the greatest common factor 65556 and 65568 is 12.

Also check out the Least Common Multiple of 65556 and 65568