What is the Greatest Common Factor of 97972 and 97987?

Greatest common factor (GCF) of 97972 and 97987 is 1.

GCF(97972,97987) = 1

We will now calculate the prime factors of 97972 and 97987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97972 and 97987.

How to find the GCF of 97972 and 97987?

We will first find the prime factorization of 97972 and 97987. After we will calculate the factors of 97972 and 97987 and find the biggest common factor number .

Step-1: Prime Factorization of 97972

Prime factors of 97972 are 2, 7, 3499. Prime factorization of 97972 in exponential form is:

97972 = 2² × 7¹ × 3499¹

Step-2: Prime Factorization of 97987

Prime factors of 97987 are 97987. Prime factorization of 97987 in exponential form is:

97987 = 97987¹

Step-3: Factors of 97972

List of positive integer factors of 97972 that divides 97972 without a remainder.

1, 2, 4, 7, 14, 28, 3499, 6998, 13996, 24493, 48986

Step-4: Factors of 97987

List of positive integer factors of 97987 that divides 97972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97972 and 97987. The biggest common factor number is the GCF number.
So the greatest common factor 97972 and 97987 is 1.

Also check out the Least Common Multiple of 97972 and 97987