What is the Greatest Common Factor of 72932 and 72944?

Greatest common factor (GCF) of 72932 and 72944 is 4.

GCF(72932,72944) = 4

We will now calculate the prime factors of 72932 and 72944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72932 and 72944.

How to find the GCF of 72932 and 72944?

We will first find the prime factorization of 72932 and 72944. After we will calculate the factors of 72932 and 72944 and find the biggest common factor number .

Step-1: Prime Factorization of 72932

Prime factors of 72932 are 2, 18233. Prime factorization of 72932 in exponential form is:

72932 = 2² × 18233¹

Step-2: Prime Factorization of 72944

Prime factors of 72944 are 2, 47, 97. Prime factorization of 72944 in exponential form is:

72944 = 2⁴ × 47¹ × 97¹

Step-3: Factors of 72932

List of positive integer factors of 72932 that divides 72932 without a remainder.

1, 2, 4, 18233, 36466

Step-4: Factors of 72944

List of positive integer factors of 72944 that divides 72932 without a remainder.

1, 2, 4, 8, 16, 47, 94, 97, 188, 194, 376, 388, 752, 776, 1552, 4559, 9118, 18236, 36472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72932 and 72944. The biggest common factor number is the GCF number.
So the greatest common factor 72932 and 72944 is 4.

Also check out the Least Common Multiple of 72932 and 72944