What is the Greatest Common Factor of 86280 and 86296?

Greatest common factor (GCF) of 86280 and 86296 is 8.

GCF(86280,86296) = 8

We will now calculate the prime factors of 86280 and 86296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86280 and 86296.

How to find the GCF of 86280 and 86296?

We will first find the prime factorization of 86280 and 86296. After we will calculate the factors of 86280 and 86296 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 86296

Prime factors of 86296 are 2, 7, 23, 67. Prime factorization of 86296 in exponential form is:

86296 = 2³ × 7¹ × 23¹ × 67¹

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 86296

List of positive integer factors of 86296 that divides 86280 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 67, 92, 134, 161, 184, 268, 322, 469, 536, 644, 938, 1288, 1541, 1876, 3082, 3752, 6164, 10787, 12328, 21574, 43148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86280 and 86296. The biggest common factor number is the GCF number.
So the greatest common factor 86280 and 86296 is 8.

Also check out the Least Common Multiple of 86280 and 86296