What is the Greatest Common Factor of 86762 and 86780?

Greatest common factor (GCF) of 86762 and 86780 is 2.

GCF(86762,86780) = 2

We will now calculate the prime factors of 86762 and 86780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86762 and 86780.

How to find the GCF of 86762 and 86780?

We will first find the prime factorization of 86762 and 86780. After we will calculate the factors of 86762 and 86780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86780

Prime factors of 86780 are 2, 5, 4339. Prime factorization of 86780 in exponential form is:

86780 = 2² × 5¹ × 4339¹

Step-3: Factors of 86762

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

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

Step-4: Factors of 86780

List of positive integer factors of 86780 that divides 86762 without a remainder.

1, 2, 4, 5, 10, 20, 4339, 8678, 17356, 21695, 43390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86762 and 86780. The biggest common factor number is the GCF number.
So the greatest common factor 86762 and 86780 is 2.

Also check out the Least Common Multiple of 86762 and 86780