What is the Greatest Common Factor of 86254 and 86272?

Greatest common factor (GCF) of 86254 and 86272 is 2.

GCF(86254,86272) = 2

We will now calculate the prime factors of 86254 and 86272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86254 and 86272.

How to find the GCF of 86254 and 86272?

We will first find the prime factorization of 86254 and 86272. After we will calculate the factors of 86254 and 86272 and find the biggest common factor number .

Step-1: Prime Factorization of 86254

Prime factors of 86254 are 2, 7, 61, 101. Prime factorization of 86254 in exponential form is:

86254 = 2¹ × 7¹ × 61¹ × 101¹

Step-2: Prime Factorization of 86272

Prime factors of 86272 are 2, 337. Prime factorization of 86272 in exponential form is:

86272 = 2⁸ × 337¹

Step-3: Factors of 86254

List of positive integer factors of 86254 that divides 86254 without a remainder.

1, 2, 7, 14, 61, 101, 122, 202, 427, 707, 854, 1414, 6161, 12322, 43127

Step-4: Factors of 86272

List of positive integer factors of 86272 that divides 86254 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 337, 674, 1348, 2696, 5392, 10784, 21568, 43136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86254 and 86272. The biggest common factor number is the GCF number.
So the greatest common factor 86254 and 86272 is 2.

Also check out the Least Common Multiple of 86254 and 86272