What is the Greatest Common Factor of 97968 and 97981?

Greatest common factor (GCF) of 97968 and 97981 is 13.

GCF(97968,97981) = 13

We will now calculate the prime factors of 97968 and 97981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97968 and 97981.

How to find the GCF of 97968 and 97981?

We will first find the prime factorization of 97968 and 97981. After we will calculate the factors of 97968 and 97981 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 97981

Prime factors of 97981 are 13, 7537. Prime factorization of 97981 in exponential form is:

97981 = 13¹ × 7537¹

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 97981

List of positive integer factors of 97981 that divides 97968 without a remainder.

1, 13, 7537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97968 and 97981. The biggest common factor number is the GCF number.
So the greatest common factor 97968 and 97981 is 13.

Also check out the Least Common Multiple of 97968 and 97981