What is the Greatest Common Factor of 86254 and 86268?

Greatest common factor (GCF) of 86254 and 86268 is 14.

GCF(86254,86268) = 14

We will now calculate the prime factors of 86254 and 86268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86254 and 86268.

How to find the GCF of 86254 and 86268?

We will first find the prime factorization of 86254 and 86268. After we will calculate the factors of 86254 and 86268 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 86268

Prime factors of 86268 are 2, 3, 7, 13, 79. Prime factorization of 86268 in exponential form is:

86268 = 2² × 3¹ × 7¹ × 13¹ × 79¹

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 86268

List of positive integer factors of 86268 that divides 86254 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 79, 84, 91, 156, 158, 182, 237, 273, 316, 364, 474, 546, 553, 948, 1027, 1092, 1106, 1659, 2054, 2212, 3081, 3318, 4108, 6162, 6636, 7189, 12324, 14378, 21567, 28756, 43134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86254 and 86268. The biggest common factor number is the GCF number.
So the greatest common factor 86254 and 86268 is 14.

Also check out the Least Common Multiple of 86254 and 86268