What is the Greatest Common Factor of 86280 and 86288?

Greatest common factor (GCF) of 86280 and 86288 is 8.

GCF(86280,86288) = 8

We will now calculate the prime factors of 86280 and 86288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86280 and 86288.

How to find the GCF of 86280 and 86288?

We will first find the prime factorization of 86280 and 86288. After we will calculate the factors of 86280 and 86288 and find the biggest common factor number .

Step-1: Prime Factorization of 86280

Prime factors of 86280 are 2, 3, 5, 719. Prime factorization of 86280 in exponential form is:

86280 = 2³ × 3¹ × 5¹ × 719¹

Step-2: Prime Factorization of 86288

Prime factors of 86288 are 2, 5393. Prime factorization of 86288 in exponential form is:

86288 = 2⁴ × 5393¹

Step-3: Factors of 86280

List of positive integer factors of 86280 that divides 86280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 719, 1438, 2157, 2876, 3595, 4314, 5752, 7190, 8628, 10785, 14380, 17256, 21570, 28760, 43140

Step-4: Factors of 86288

List of positive integer factors of 86288 that divides 86280 without a remainder.

1, 2, 4, 8, 16, 5393, 10786, 21572, 43144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86280 and 86288. The biggest common factor number is the GCF number.
So the greatest common factor 86280 and 86288 is 8.

Also check out the Least Common Multiple of 86280 and 86288