What is the Greatest Common Factor of 97972 and 97991?

Greatest common factor (GCF) of 97972 and 97991 is 1.

GCF(97972,97991) = 1

We will now calculate the prime factors of 97972 and 97991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97972 and 97991.

How to find the GCF of 97972 and 97991?

We will first find the prime factorization of 97972 and 97991. After we will calculate the factors of 97972 and 97991 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 97991

Prime factors of 97991 are 29, 31, 109. Prime factorization of 97991 in exponential form is:

97991 = 29¹ × 31¹ × 109¹

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 97991

List of positive integer factors of 97991 that divides 97972 without a remainder.

1, 29, 31, 109, 899, 3161, 3379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97972 and 97991. The biggest common factor number is the GCF number.
So the greatest common factor 97972 and 97991 is 1.

Also check out the Least Common Multiple of 97972 and 97991