What is the Greatest Common Factor of 97952 and 97968?

Greatest common factor (GCF) of 97952 and 97968 is 16.

GCF(97952,97968) = 16

We will now calculate the prime factors of 97952 and 97968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97952 and 97968.

How to find the GCF of 97952 and 97968?

We will first find the prime factorization of 97952 and 97968. After we will calculate the factors of 97952 and 97968 and find the biggest common factor number .

Step-1: Prime Factorization of 97952

Prime factors of 97952 are 2, 3061. Prime factorization of 97952 in exponential form is:

97952 = 2⁵ × 3061¹

Step-2: 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-3: Factors of 97952

List of positive integer factors of 97952 that divides 97952 without a remainder.

1, 2, 4, 8, 16, 32, 3061, 6122, 12244, 24488, 48976

Step-4: Factors of 97968

List of positive integer factors of 97968 that divides 97952 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97952 and 97968. The biggest common factor number is the GCF number.
So the greatest common factor 97952 and 97968 is 16.

Also check out the Least Common Multiple of 97952 and 97968