What is the Greatest Common Factor of 97968 and 97982?

Greatest common factor (GCF) of 97968 and 97982 is 2.

GCF(97968,97982) = 2

We will now calculate the prime factors of 97968 and 97982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97968 and 97982.

How to find the GCF of 97968 and 97982?

We will first find the prime factorization of 97968 and 97982. After we will calculate the factors of 97968 and 97982 and find the biggest common factor number .

Step-1: Prime Factorization of 97968

Prime factors of 97968 are 2, 3, 13, 157. Prime factorization of 97968 in exponential form is:

97968 = 2⁴ × 3¹ × 13¹ × 157¹

Step-2: Prime Factorization of 97982

Prime factors of 97982 are 2, 48991. Prime factorization of 97982 in exponential form is:

97982 = 2¹ × 48991¹

Step-3: Factors of 97968

List of positive integer factors of 97968 that divides 97968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 157, 208, 312, 314, 471, 624, 628, 942, 1256, 1884, 2041, 2512, 3768, 4082, 6123, 7536, 8164, 12246, 16328, 24492, 32656, 48984

Step-4: Factors of 97982

List of positive integer factors of 97982 that divides 97968 without a remainder.

1, 2, 48991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97968 and 97982. The biggest common factor number is the GCF number.
So the greatest common factor 97968 and 97982 is 2.

Also check out the Least Common Multiple of 97968 and 97982