What is the Greatest Common Factor of 28975 and 28994?

Greatest common factor (GCF) of 28975 and 28994 is 19.

GCF(28975,28994) = 19

We will now calculate the prime factors of 28975 and 28994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28975 and 28994.

How to find the GCF of 28975 and 28994?

We will first find the prime factorization of 28975 and 28994. After we will calculate the factors of 28975 and 28994 and find the biggest common factor number .

Step-1: Prime Factorization of 28975

Prime factors of 28975 are 5, 19, 61. Prime factorization of 28975 in exponential form is:

28975 = 5² × 19¹ × 61¹

Step-2: Prime Factorization of 28994

Prime factors of 28994 are 2, 7, 19, 109. Prime factorization of 28994 in exponential form is:

28994 = 2¹ × 7¹ × 19¹ × 109¹

Step-3: Factors of 28975

List of positive integer factors of 28975 that divides 28975 without a remainder.

1, 5, 19, 25, 61, 95, 305, 475, 1159, 1525, 5795

Step-4: Factors of 28994

List of positive integer factors of 28994 that divides 28975 without a remainder.

1, 2, 7, 14, 19, 38, 109, 133, 218, 266, 763, 1526, 2071, 4142, 14497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28975 and 28994. The biggest common factor number is the GCF number.
So the greatest common factor 28975 and 28994 is 19.

Also check out the Least Common Multiple of 28975 and 28994