What is the Greatest Common Factor of 73952 and 73966?

Greatest common factor (GCF) of 73952 and 73966 is 2.

GCF(73952,73966) = 2

We will now calculate the prime factors of 73952 and 73966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73952 and 73966.

How to find the GCF of 73952 and 73966?

We will first find the prime factorization of 73952 and 73966. After we will calculate the factors of 73952 and 73966 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 73966

Prime factors of 73966 are 2, 31, 1193. Prime factorization of 73966 in exponential form is:

73966 = 2¹ × 31¹ × 1193¹

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 73966

List of positive integer factors of 73966 that divides 73952 without a remainder.

1, 2, 31, 62, 1193, 2386, 36983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73952 and 73966. The biggest common factor number is the GCF number.
So the greatest common factor 73952 and 73966 is 2.

Also check out the Least Common Multiple of 73952 and 73966