What is the Greatest Common Factor of 65656 and 65668?

Greatest common factor (GCF) of 65656 and 65668 is 4.

GCF(65656,65668) = 4

We will now calculate the prime factors of 65656 and 65668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65656 and 65668.

How to find the GCF of 65656 and 65668?

We will first find the prime factorization of 65656 and 65668. After we will calculate the factors of 65656 and 65668 and find the biggest common factor number .

Step-1: Prime Factorization of 65656

Prime factors of 65656 are 2, 29, 283. Prime factorization of 65656 in exponential form is:

65656 = 2³ × 29¹ × 283¹

Step-2: Prime Factorization of 65668

Prime factors of 65668 are 2, 16417. Prime factorization of 65668 in exponential form is:

65668 = 2² × 16417¹

Step-3: Factors of 65656

List of positive integer factors of 65656 that divides 65656 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 283, 566, 1132, 2264, 8207, 16414, 32828

Step-4: Factors of 65668

List of positive integer factors of 65668 that divides 65656 without a remainder.

1, 2, 4, 16417, 32834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65656 and 65668. The biggest common factor number is the GCF number.
So the greatest common factor 65656 and 65668 is 4.

Also check out the Least Common Multiple of 65656 and 65668