What is the Greatest Common Factor of 28956 and 28969?

Greatest common factor (GCF) of 28956 and 28969 is 1.

GCF(28956,28969) = 1

We will now calculate the prime factors of 28956 and 28969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28956 and 28969.

How to find the GCF of 28956 and 28969?

We will first find the prime factorization of 28956 and 28969. After we will calculate the factors of 28956 and 28969 and find the biggest common factor number .

Step-1: Prime Factorization of 28956

Prime factors of 28956 are 2, 3, 19, 127. Prime factorization of 28956 in exponential form is:

28956 = 2² × 3¹ × 19¹ × 127¹

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 28956

List of positive integer factors of 28956 that divides 28956 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 127, 228, 254, 381, 508, 762, 1524, 2413, 4826, 7239, 9652, 14478

Step-4: Factors of 28969

List of positive integer factors of 28969 that divides 28956 without a remainder.

1, 59, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28956 and 28969. The biggest common factor number is the GCF number.
So the greatest common factor 28956 and 28969 is 1.

Also check out the Least Common Multiple of 28956 and 28969