What is the Greatest Common Factor of 86970 and 86976?

Greatest common factor (GCF) of 86970 and 86976 is 6.

GCF(86970,86976) = 6

We will now calculate the prime factors of 86970 and 86976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86970 and 86976.

How to find the GCF of 86970 and 86976?

We will first find the prime factorization of 86970 and 86976. After we will calculate the factors of 86970 and 86976 and find the biggest common factor number .

Step-1: Prime Factorization of 86970

Prime factors of 86970 are 2, 3, 5, 13, 223. Prime factorization of 86970 in exponential form is:

86970 = 2¹ × 3¹ × 5¹ × 13¹ × 223¹

Step-2: Prime Factorization of 86976

Prime factors of 86976 are 2, 3, 151. Prime factorization of 86976 in exponential form is:

86976 = 2⁶ × 3² × 151¹

Step-3: Factors of 86970

List of positive integer factors of 86970 that divides 86970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 223, 390, 446, 669, 1115, 1338, 2230, 2899, 3345, 5798, 6690, 8697, 14495, 17394, 28990, 43485

Step-4: Factors of 86976

List of positive integer factors of 86976 that divides 86970 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 151, 192, 288, 302, 453, 576, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 4832, 5436, 7248, 9664, 10872, 14496, 21744, 28992, 43488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86970 and 86976. The biggest common factor number is the GCF number.
So the greatest common factor 86970 and 86976 is 6.

Also check out the Least Common Multiple of 86970 and 86976