What is the Greatest Common Factor of 972 and 985?

Greatest common factor (GCF) of 972 and 985 is 1.

GCF(972,985) = 1

We will now calculate the prime factors of 972 and 985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 972 and 985.

How to find the GCF of 972 and 985?

We will first find the prime factorization of 972 and 985. After we will calculate the factors of 972 and 985 and find the biggest common factor number .

Step-1: Prime Factorization of 972

Prime factors of 972 are 2, 3. Prime factorization of 972 in exponential form is:

972 = 2² × 3⁵

Step-2: Prime Factorization of 985

Prime factors of 985 are 5, 197. Prime factorization of 985 in exponential form is:

985 = 5¹ × 197¹

Step-3: Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486

Step-4: Factors of 985

List of positive integer factors of 985 that divides 972 without a remainder.

1, 5, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 972 and 985. The biggest common factor number is the GCF number.
So the greatest common factor 972 and 985 is 1.

Also check out the Least Common Multiple of 972 and 985