What is the Greatest Common Factor of 85976 and 85985?

Greatest common factor (GCF) of 85976 and 85985 is 1.

GCF(85976,85985) = 1

We will now calculate the prime factors of 85976 and 85985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85976 and 85985.

How to find the GCF of 85976 and 85985?

We will first find the prime factorization of 85976 and 85985. After we will calculate the factors of 85976 and 85985 and find the biggest common factor number .

Step-1: Prime Factorization of 85976

Prime factors of 85976 are 2, 11, 977. Prime factorization of 85976 in exponential form is:

85976 = 2³ × 11¹ × 977¹

Step-2: Prime Factorization of 85985

Prime factors of 85985 are 5, 29, 593. Prime factorization of 85985 in exponential form is:

85985 = 5¹ × 29¹ × 593¹

Step-3: Factors of 85976

List of positive integer factors of 85976 that divides 85976 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 977, 1954, 3908, 7816, 10747, 21494, 42988

Step-4: Factors of 85985

List of positive integer factors of 85985 that divides 85976 without a remainder.

1, 5, 29, 145, 593, 2965, 17197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85976 and 85985. The biggest common factor number is the GCF number.
So the greatest common factor 85976 and 85985 is 1.

Also check out the Least Common Multiple of 85976 and 85985