What is the Greatest Common Factor of 97972 and 97986?

Greatest common factor (GCF) of 97972 and 97986 is 14.

GCF(97972,97986) = 14

We will now calculate the prime factors of 97972 and 97986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97972 and 97986.

How to find the GCF of 97972 and 97986?

We will first find the prime factorization of 97972 and 97986. After we will calculate the factors of 97972 and 97986 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 97986

Prime factors of 97986 are 2, 3, 7, 2333. Prime factorization of 97986 in exponential form is:

97986 = 2¹ × 3¹ × 7¹ × 2333¹

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 97986

List of positive integer factors of 97986 that divides 97972 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2333, 4666, 6999, 13998, 16331, 32662, 48993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97972 and 97986. The biggest common factor number is the GCF number.
So the greatest common factor 97972 and 97986 is 14.

Also check out the Least Common Multiple of 97972 and 97986