What is the Greatest Common Factor of 86268 and 86278?

Greatest common factor (GCF) of 86268 and 86278 is 2.

GCF(86268,86278) = 2

We will now calculate the prime factors of 86268 and 86278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86268 and 86278.

How to find the GCF of 86268 and 86278?

We will first find the prime factorization of 86268 and 86278. After we will calculate the factors of 86268 and 86278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86278

Prime factors of 86278 are 2, 179, 241. Prime factorization of 86278 in exponential form is:

86278 = 2¹ × 179¹ × 241¹

Step-3: Factors of 86268

List of positive integer factors of 86268 that divides 86268 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

Step-4: Factors of 86278

List of positive integer factors of 86278 that divides 86268 without a remainder.

1, 2, 179, 241, 358, 482, 43139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86268 and 86278. The biggest common factor number is the GCF number.
So the greatest common factor 86268 and 86278 is 2.

Also check out the Least Common Multiple of 86268 and 86278