What is the Greatest Common Factor of 86970 and 86982?

Greatest common factor (GCF) of 86970 and 86982 is 6.

GCF(86970,86982) = 6

We will now calculate the prime factors of 86970 and 86982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86970 and 86982.

How to find the GCF of 86970 and 86982?

We will first find the prime factorization of 86970 and 86982. After we will calculate the factors of 86970 and 86982 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 86982

Prime factors of 86982 are 2, 3, 7, 19, 109. Prime factorization of 86982 in exponential form is:

86982 = 2¹ × 3¹ × 7¹ × 19¹ × 109¹

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 86982

List of positive integer factors of 86982 that divides 86970 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 109, 114, 133, 218, 266, 327, 399, 654, 763, 798, 1526, 2071, 2289, 4142, 4578, 6213, 12426, 14497, 28994, 43491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86970 and 86982. The biggest common factor number is the GCF number.
So the greatest common factor 86970 and 86982 is 6.

Also check out the Least Common Multiple of 86970 and 86982