What is the Greatest Common Factor of 86462 and 86478?

Greatest common factor (GCF) of 86462 and 86478 is 2.

GCF(86462,86478) = 2

We will now calculate the prime factors of 86462 and 86478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86462 and 86478.

How to find the GCF of 86462 and 86478?

We will first find the prime factorization of 86462 and 86478. After we will calculate the factors of 86462 and 86478 and find the biggest common factor number .

Step-1: Prime Factorization of 86462

Prime factors of 86462 are 2, 17, 2543. Prime factorization of 86462 in exponential form is:

86462 = 2¹ × 17¹ × 2543¹

Step-2: 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-3: Factors of 86462

List of positive integer factors of 86462 that divides 86462 without a remainder.

1, 2, 17, 34, 2543, 5086, 43231

Step-4: Factors of 86478

List of positive integer factors of 86478 that divides 86462 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86462 and 86478. The biggest common factor number is the GCF number.
So the greatest common factor 86462 and 86478 is 2.

Also check out the Least Common Multiple of 86462 and 86478