What is the Greatest Common Factor of 72919 and 72932?

Greatest common factor (GCF) of 72919 and 72932 is 1.

GCF(72919,72932) = 1

We will now calculate the prime factors of 72919 and 72932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72919 and 72932.

How to find the GCF of 72919 and 72932?

We will first find the prime factorization of 72919 and 72932. After we will calculate the factors of 72919 and 72932 and find the biggest common factor number .

Step-1: Prime Factorization of 72919

Prime factors of 72919 are 7, 11, 947. Prime factorization of 72919 in exponential form is:

72919 = 7¹ × 11¹ × 947¹

Step-2: Prime Factorization of 72932

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

72932 = 2² × 18233¹

Step-3: Factors of 72919

List of positive integer factors of 72919 that divides 72919 without a remainder.

1, 7, 11, 77, 947, 6629, 10417

Step-4: Factors of 72932

List of positive integer factors of 72932 that divides 72919 without a remainder.

1, 2, 4, 18233, 36466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72919 and 72932. The biggest common factor number is the GCF number.
So the greatest common factor 72919 and 72932 is 1.

Also check out the Least Common Multiple of 72919 and 72932