What is the Greatest Common Factor of 86952 and 86970?

Greatest common factor (GCF) of 86952 and 86970 is 6.

GCF(86952,86970) = 6

We will now calculate the prime factors of 86952 and 86970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86952 and 86970.

How to find the GCF of 86952 and 86970?

We will first find the prime factorization of 86952 and 86970. After we will calculate the factors of 86952 and 86970 and find the biggest common factor number .

Step-1: Prime Factorization of 86952

Prime factors of 86952 are 2, 3, 3623. Prime factorization of 86952 in exponential form is:

86952 = 2³ × 3¹ × 3623¹

Step-2: 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-3: Factors of 86952

List of positive integer factors of 86952 that divides 86952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3623, 7246, 10869, 14492, 21738, 28984, 43476

Step-4: Factors of 86970

List of positive integer factors of 86970 that divides 86952 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86952 and 86970. The biggest common factor number is the GCF number.
So the greatest common factor 86952 and 86970 is 6.

Also check out the Least Common Multiple of 86952 and 86970