What is the Greatest Common Factor of 72965 and 72976?

Greatest common factor (GCF) of 72965 and 72976 is 1.

GCF(72965,72976) = 1

We will now calculate the prime factors of 72965 and 72976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72965 and 72976.

How to find the GCF of 72965 and 72976?

We will first find the prime factorization of 72965 and 72976. After we will calculate the factors of 72965 and 72976 and find the biggest common factor number .

Step-1: Prime Factorization of 72965

Prime factors of 72965 are 5, 14593. Prime factorization of 72965 in exponential form is:

72965 = 5¹ × 14593¹

Step-2: Prime Factorization of 72976

Prime factors of 72976 are 2, 4561. Prime factorization of 72976 in exponential form is:

72976 = 2⁴ × 4561¹

Step-3: Factors of 72965

List of positive integer factors of 72965 that divides 72965 without a remainder.

1, 5, 14593

Step-4: Factors of 72976

List of positive integer factors of 72976 that divides 72965 without a remainder.

1, 2, 4, 8, 16, 4561, 9122, 18244, 36488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72965 and 72976. The biggest common factor number is the GCF number.
So the greatest common factor 72965 and 72976 is 1.

Also check out the Least Common Multiple of 72965 and 72976