What is the Greatest Common Factor of 72922 and 72928?

Greatest common factor (GCF) of 72922 and 72928 is 2.

GCF(72922,72928) = 2

We will now calculate the prime factors of 72922 and 72928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72922 and 72928.

How to find the GCF of 72922 and 72928?

We will first find the prime factorization of 72922 and 72928. After we will calculate the factors of 72922 and 72928 and find the biggest common factor number .

Step-1: Prime Factorization of 72922

Prime factors of 72922 are 2, 19, 101. Prime factorization of 72922 in exponential form is:

72922 = 2¹ × 19² × 101¹

Step-2: Prime Factorization of 72928

Prime factors of 72928 are 2, 43, 53. Prime factorization of 72928 in exponential form is:

72928 = 2⁵ × 43¹ × 53¹

Step-3: Factors of 72922

List of positive integer factors of 72922 that divides 72922 without a remainder.

1, 2, 19, 38, 101, 202, 361, 722, 1919, 3838, 36461

Step-4: Factors of 72928

List of positive integer factors of 72928 that divides 72922 without a remainder.

1, 2, 4, 8, 16, 32, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 1376, 1696, 2279, 4558, 9116, 18232, 36464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72922 and 72928. The biggest common factor number is the GCF number.
So the greatest common factor 72922 and 72928 is 2.

Also check out the Least Common Multiple of 72922 and 72928