What is the Greatest Common Factor of 97986 and 97996?

Greatest common factor (GCF) of 97986 and 97996 is 2.

GCF(97986,97996) = 2

We will now calculate the prime factors of 97986 and 97996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97986 and 97996.

How to find the GCF of 97986 and 97996?

We will first find the prime factorization of 97986 and 97996. After we will calculate the factors of 97986 and 97996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97996

Prime factors of 97996 are 2, 24499. Prime factorization of 97996 in exponential form is:

97996 = 2² × 24499¹

Step-3: Factors of 97986

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

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

Step-4: Factors of 97996

List of positive integer factors of 97996 that divides 97986 without a remainder.

1, 2, 4, 24499, 48998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97986 and 97996. The biggest common factor number is the GCF number.
So the greatest common factor 97986 and 97996 is 2.

Also check out the Least Common Multiple of 97986 and 97996