What is the Greatest Common Factor of 86748 and 86762?

Greatest common factor (GCF) of 86748 and 86762 is 2.

GCF(86748,86762) = 2

We will now calculate the prime factors of 86748 and 86762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86748 and 86762.

How to find the GCF of 86748 and 86762?

We will first find the prime factorization of 86748 and 86762. After we will calculate the factors of 86748 and 86762 and find the biggest common factor number .

Step-1: Prime Factorization of 86748

Prime factors of 86748 are 2, 3, 7229. Prime factorization of 86748 in exponential form is:

86748 = 2² × 3¹ × 7229¹

Step-2: Prime Factorization of 86762

Prime factors of 86762 are 2, 13, 47, 71. Prime factorization of 86762 in exponential form is:

86762 = 2¹ × 13¹ × 47¹ × 71¹

Step-3: Factors of 86748

List of positive integer factors of 86748 that divides 86748 without a remainder.

1, 2, 3, 4, 6, 12, 7229, 14458, 21687, 28916, 43374

Step-4: Factors of 86762

List of positive integer factors of 86762 that divides 86748 without a remainder.

1, 2, 13, 26, 47, 71, 94, 142, 611, 923, 1222, 1846, 3337, 6674, 43381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86748 and 86762. The biggest common factor number is the GCF number.
So the greatest common factor 86748 and 86762 is 2.

Also check out the Least Common Multiple of 86748 and 86762