What is the Greatest Common Factor of 28994 and 29013?

Greatest common factor (GCF) of 28994 and 29013 is 19.

GCF(28994,29013) = 19

We will now calculate the prime factors of 28994 and 29013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28994 and 29013.

How to find the GCF of 28994 and 29013?

We will first find the prime factorization of 28994 and 29013. After we will calculate the factors of 28994 and 29013 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29013

Prime factors of 29013 are 3, 19, 509. Prime factorization of 29013 in exponential form is:

29013 = 3¹ × 19¹ × 509¹

Step-3: Factors of 28994

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

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

Step-4: Factors of 29013

List of positive integer factors of 29013 that divides 28994 without a remainder.

1, 3, 19, 57, 509, 1527, 9671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28994 and 29013. The biggest common factor number is the GCF number.
So the greatest common factor 28994 and 29013 is 19.

Also check out the Least Common Multiple of 28994 and 29013