What is the Greatest Common Factor of 72920 and 72934?

Greatest common factor (GCF) of 72920 and 72934 is 2.

GCF(72920,72934) = 2

We will now calculate the prime factors of 72920 and 72934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72920 and 72934.

How to find the GCF of 72920 and 72934?

We will first find the prime factorization of 72920 and 72934. After we will calculate the factors of 72920 and 72934 and find the biggest common factor number .

Step-1: Prime Factorization of 72920

Prime factors of 72920 are 2, 5, 1823. Prime factorization of 72920 in exponential form is:

72920 = 2³ × 5¹ × 1823¹

Step-2: Prime Factorization of 72934

Prime factors of 72934 are 2, 36467. Prime factorization of 72934 in exponential form is:

72934 = 2¹ × 36467¹

Step-3: Factors of 72920

List of positive integer factors of 72920 that divides 72920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1823, 3646, 7292, 9115, 14584, 18230, 36460

Step-4: Factors of 72934

List of positive integer factors of 72934 that divides 72920 without a remainder.

1, 2, 36467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72920 and 72934. The biggest common factor number is the GCF number.
So the greatest common factor 72920 and 72934 is 2.

Also check out the Least Common Multiple of 72920 and 72934