What is the Greatest Common Factor of 73952 and 73961?

Greatest common factor (GCF) of 73952 and 73961 is 1.

GCF(73952,73961) = 1

We will now calculate the prime factors of 73952 and 73961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73952 and 73961.

How to find the GCF of 73952 and 73961?

We will first find the prime factorization of 73952 and 73961. After we will calculate the factors of 73952 and 73961 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 73961

Prime factors of 73961 are 73961. Prime factorization of 73961 in exponential form is:

73961 = 73961¹

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 73961

List of positive integer factors of 73961 that divides 73952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73952 and 73961. The biggest common factor number is the GCF number.
So the greatest common factor 73952 and 73961 is 1.

Also check out the Least Common Multiple of 73952 and 73961