What is the Greatest Common Factor of 65258 and 65272?

Greatest common factor (GCF) of 65258 and 65272 is 2.

GCF(65258,65272) = 2

We will now calculate the prime factors of 65258 and 65272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65258 and 65272.

How to find the GCF of 65258 and 65272?

We will first find the prime factorization of 65258 and 65272. After we will calculate the factors of 65258 and 65272 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 65272

Prime factors of 65272 are 2, 41, 199. Prime factorization of 65272 in exponential form is:

65272 = 2³ × 41¹ × 199¹

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 65272

List of positive integer factors of 65272 that divides 65258 without a remainder.

1, 2, 4, 8, 41, 82, 164, 199, 328, 398, 796, 1592, 8159, 16318, 32636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65258 and 65272. The biggest common factor number is the GCF number.
So the greatest common factor 65258 and 65272 is 2.

Also check out the Least Common Multiple of 65258 and 65272