What is the Greatest Common Factor of 28939 and 28951?

Greatest common factor (GCF) of 28939 and 28951 is 1.

GCF(28939,28951) = 1

We will now calculate the prime factors of 28939 and 28951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28939 and 28951.

How to find the GCF of 28939 and 28951?

We will first find the prime factorization of 28939 and 28951. After we will calculate the factors of 28939 and 28951 and find the biggest common factor number .

Step-1: Prime Factorization of 28939

Prime factors of 28939 are 43, 673. Prime factorization of 28939 in exponential form is:

28939 = 43¹ × 673¹

Step-2: Prime Factorization of 28951

Prime factors of 28951 are 13, 17, 131. Prime factorization of 28951 in exponential form is:

28951 = 13¹ × 17¹ × 131¹

Step-3: Factors of 28939

List of positive integer factors of 28939 that divides 28939 without a remainder.

1, 43, 673

Step-4: Factors of 28951

List of positive integer factors of 28951 that divides 28939 without a remainder.

1, 13, 17, 131, 221, 1703, 2227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28939 and 28951. The biggest common factor number is the GCF number.
So the greatest common factor 28939 and 28951 is 1.

Also check out the Least Common Multiple of 28939 and 28951