What is the Greatest Common Factor of 28974 and 28990?

Greatest common factor (GCF) of 28974 and 28990 is 2.

GCF(28974,28990) = 2

We will now calculate the prime factors of 28974 and 28990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28974 and 28990.

How to find the GCF of 28974 and 28990?

We will first find the prime factorization of 28974 and 28990. After we will calculate the factors of 28974 and 28990 and find the biggest common factor number .

Step-1: Prime Factorization of 28974

Prime factors of 28974 are 2, 3, 11, 439. Prime factorization of 28974 in exponential form is:

28974 = 2¹ × 3¹ × 11¹ × 439¹

Step-2: Prime Factorization of 28990

Prime factors of 28990 are 2, 5, 13, 223. Prime factorization of 28990 in exponential form is:

28990 = 2¹ × 5¹ × 13¹ × 223¹

Step-3: Factors of 28974

List of positive integer factors of 28974 that divides 28974 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 439, 878, 1317, 2634, 4829, 9658, 14487

Step-4: Factors of 28990

List of positive integer factors of 28990 that divides 28974 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 223, 446, 1115, 2230, 2899, 5798, 14495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28974 and 28990. The biggest common factor number is the GCF number.
So the greatest common factor 28974 and 28990 is 2.

Also check out the Least Common Multiple of 28974 and 28990