What is the Greatest Common Factor of 28964 and 28969?

Greatest common factor (GCF) of 28964 and 28969 is 1.

GCF(28964,28969) = 1

We will now calculate the prime factors of 28964 and 28969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28964 and 28969.

How to find the GCF of 28964 and 28969?

We will first find the prime factorization of 28964 and 28969. After we will calculate the factors of 28964 and 28969 and find the biggest common factor number .

Step-1: Prime Factorization of 28964

Prime factors of 28964 are 2, 13, 557. Prime factorization of 28964 in exponential form is:

28964 = 2² × 13¹ × 557¹

Step-2: Prime Factorization of 28969

Prime factors of 28969 are 59, 491. Prime factorization of 28969 in exponential form is:

28969 = 59¹ × 491¹

Step-3: Factors of 28964

List of positive integer factors of 28964 that divides 28964 without a remainder.

1, 2, 4, 13, 26, 52, 557, 1114, 2228, 7241, 14482

Step-4: Factors of 28969

List of positive integer factors of 28969 that divides 28964 without a remainder.

1, 59, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28964 and 28969. The biggest common factor number is the GCF number.
So the greatest common factor 28964 and 28969 is 1.

Also check out the Least Common Multiple of 28964 and 28969