What is the Greatest Common Factor of 73952 and 73968?

Greatest common factor (GCF) of 73952 and 73968 is 16.

GCF(73952,73968) = 16

We will now calculate the prime factors of 73952 and 73968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73952 and 73968.

How to find the GCF of 73952 and 73968?

We will first find the prime factorization of 73952 and 73968. After we will calculate the factors of 73952 and 73968 and find the biggest common factor number .

Step-1: Prime Factorization of 73952

Prime factors of 73952 are 2, 2311. Prime factorization of 73952 in exponential form is:

73952 = 2⁵ × 2311¹

Step-2: Prime Factorization of 73968

Prime factors of 73968 are 2, 3, 23, 67. Prime factorization of 73968 in exponential form is:

73968 = 2⁴ × 3¹ × 23¹ × 67¹

Step-3: Factors of 73952

List of positive integer factors of 73952 that divides 73952 without a remainder.

1, 2, 4, 8, 16, 32, 2311, 4622, 9244, 18488, 36976

Step-4: Factors of 73968

List of positive integer factors of 73968 that divides 73952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 67, 69, 92, 134, 138, 184, 201, 268, 276, 368, 402, 536, 552, 804, 1072, 1104, 1541, 1608, 3082, 3216, 4623, 6164, 9246, 12328, 18492, 24656, 36984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73952 and 73968. The biggest common factor number is the GCF number.
So the greatest common factor 73952 and 73968 is 16.

Also check out the Least Common Multiple of 73952 and 73968