What is the Greatest Common Factor of 85960 and 85975?

Greatest common factor (GCF) of 85960 and 85975 is 5.

GCF(85960,85975) = 5

We will now calculate the prime factors of 85960 and 85975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85960 and 85975.

How to find the GCF of 85960 and 85975?

We will first find the prime factorization of 85960 and 85975. After we will calculate the factors of 85960 and 85975 and find the biggest common factor number .

Step-1: Prime Factorization of 85960

Prime factors of 85960 are 2, 5, 7, 307. Prime factorization of 85960 in exponential form is:

85960 = 2³ × 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 85975

Prime factors of 85975 are 5, 19, 181. Prime factorization of 85975 in exponential form is:

85975 = 5² × 19¹ × 181¹

Step-3: Factors of 85960

List of positive integer factors of 85960 that divides 85960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 307, 614, 1228, 1535, 2149, 2456, 3070, 4298, 6140, 8596, 10745, 12280, 17192, 21490, 42980

Step-4: Factors of 85975

List of positive integer factors of 85975 that divides 85960 without a remainder.

1, 5, 19, 25, 95, 181, 475, 905, 3439, 4525, 17195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85960 and 85975. The biggest common factor number is the GCF number.
So the greatest common factor 85960 and 85975 is 5.

Also check out the Least Common Multiple of 85960 and 85975