What is the Greatest Common Factor of 28918 and 28937?

Greatest common factor (GCF) of 28918 and 28937 is 19.

GCF(28918,28937) = 19

We will now calculate the prime factors of 28918 and 28937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28918 and 28937.

How to find the GCF of 28918 and 28937?

We will first find the prime factorization of 28918 and 28937. After we will calculate the factors of 28918 and 28937 and find the biggest common factor number .

Step-1: Prime Factorization of 28918

Prime factors of 28918 are 2, 19, 761. Prime factorization of 28918 in exponential form is:

28918 = 2¹ × 19¹ × 761¹

Step-2: Prime Factorization of 28937

Prime factors of 28937 are 19, 1523. Prime factorization of 28937 in exponential form is:

28937 = 19¹ × 1523¹

Step-3: Factors of 28918

List of positive integer factors of 28918 that divides 28918 without a remainder.

1, 2, 19, 38, 761, 1522, 14459

Step-4: Factors of 28937

List of positive integer factors of 28937 that divides 28918 without a remainder.

1, 19, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28918 and 28937. The biggest common factor number is the GCF number.
So the greatest common factor 28918 and 28937 is 19.

Also check out the Least Common Multiple of 28918 and 28937