What is the Greatest Common Factor of 86478 and 86492?

Greatest common factor (GCF) of 86478 and 86492 is 14.

GCF(86478,86492) = 14

We will now calculate the prime factors of 86478 and 86492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86478 and 86492.

How to find the GCF of 86478 and 86492?

We will first find the prime factorization of 86478 and 86492. After we will calculate the factors of 86478 and 86492 and find the biggest common factor number .

Step-1: Prime Factorization of 86478

Prime factors of 86478 are 2, 3, 7, 29, 71. Prime factorization of 86478 in exponential form is:

86478 = 2¹ × 3¹ × 7¹ × 29¹ × 71¹

Step-2: Prime Factorization of 86492

Prime factors of 86492 are 2, 7, 3089. Prime factorization of 86492 in exponential form is:

86492 = 2² × 7¹ × 3089¹

Step-3: Factors of 86478

List of positive integer factors of 86478 that divides 86478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 71, 87, 142, 174, 203, 213, 406, 426, 497, 609, 994, 1218, 1491, 2059, 2982, 4118, 6177, 12354, 14413, 28826, 43239

Step-4: Factors of 86492

List of positive integer factors of 86492 that divides 86478 without a remainder.

1, 2, 4, 7, 14, 28, 3089, 6178, 12356, 21623, 43246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86478 and 86492. The biggest common factor number is the GCF number.
So the greatest common factor 86478 and 86492 is 14.

Also check out the Least Common Multiple of 86478 and 86492