What is the Greatest Common Factor of 65258 and 65276?

Greatest common factor (GCF) of 65258 and 65276 is 2.

GCF(65258,65276) = 2

We will now calculate the prime factors of 65258 and 65276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65258 and 65276.

How to find the GCF of 65258 and 65276?

We will first find the prime factorization of 65258 and 65276. After we will calculate the factors of 65258 and 65276 and find the biggest common factor number .

Step-1: Prime Factorization of 65258

Prime factors of 65258 are 2, 67, 487. Prime factorization of 65258 in exponential form is:

65258 = 2¹ × 67¹ × 487¹

Step-2: Prime Factorization of 65276

Prime factors of 65276 are 2, 16319. Prime factorization of 65276 in exponential form is:

65276 = 2² × 16319¹

Step-3: Factors of 65258

List of positive integer factors of 65258 that divides 65258 without a remainder.

1, 2, 67, 134, 487, 974, 32629

Step-4: Factors of 65276

List of positive integer factors of 65276 that divides 65258 without a remainder.

1, 2, 4, 16319, 32638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65258 and 65276. The biggest common factor number is the GCF number.
So the greatest common factor 65258 and 65276 is 2.

Also check out the Least Common Multiple of 65258 and 65276