What is the Greatest Common Factor of 97968 and 97984?

Greatest common factor (GCF) of 97968 and 97984 is 16.

GCF(97968,97984) = 16

We will now calculate the prime factors of 97968 and 97984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97968 and 97984.

How to find the GCF of 97968 and 97984?

We will first find the prime factorization of 97968 and 97984. After we will calculate the factors of 97968 and 97984 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 97984

Prime factors of 97984 are 2, 1531. Prime factorization of 97984 in exponential form is:

97984 = 2⁶ × 1531¹

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 97984

List of positive integer factors of 97984 that divides 97968 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1531, 3062, 6124, 12248, 24496, 48992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97968 and 97984. The biggest common factor number is the GCF number.
So the greatest common factor 97968 and 97984 is 16.

Also check out the Least Common Multiple of 97968 and 97984