What is the Greatest Common Factor of 28994 and 29006?

Greatest common factor (GCF) of 28994 and 29006 is 2.

GCF(28994,29006) = 2

We will now calculate the prime factors of 28994 and 29006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28994 and 29006.

How to find the GCF of 28994 and 29006?

We will first find the prime factorization of 28994 and 29006. After we will calculate the factors of 28994 and 29006 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 29006

Prime factors of 29006 are 2, 14503. Prime factorization of 29006 in exponential form is:

29006 = 2¹ × 14503¹

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 29006

List of positive integer factors of 29006 that divides 28994 without a remainder.

1, 2, 14503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28994 and 29006. The biggest common factor number is the GCF number.
So the greatest common factor 28994 and 29006 is 2.

Also check out the Least Common Multiple of 28994 and 29006