What is the Greatest Common Factor of 86970 and 86985?

Greatest common factor (GCF) of 86970 and 86985 is 15.

GCF(86970,86985) = 15

We will now calculate the prime factors of 86970 and 86985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86970 and 86985.

How to find the GCF of 86970 and 86985?

We will first find the prime factorization of 86970 and 86985. After we will calculate the factors of 86970 and 86985 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 86985

Prime factors of 86985 are 3, 5, 1933. Prime factorization of 86985 in exponential form is:

86985 = 3² × 5¹ × 1933¹

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 86985

List of positive integer factors of 86985 that divides 86970 without a remainder.

1, 3, 5, 9, 15, 45, 1933, 5799, 9665, 17397, 28995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86970 and 86985. The biggest common factor number is the GCF number.
So the greatest common factor 86970 and 86985 is 15.

Also check out the Least Common Multiple of 86970 and 86985