What is the Greatest Common Factor of 28978 and 28996?

Greatest common factor (GCF) of 28978 and 28996 is 2.

GCF(28978,28996) = 2

We will now calculate the prime factors of 28978 and 28996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28978 and 28996.

How to find the GCF of 28978 and 28996?

We will first find the prime factorization of 28978 and 28996. After we will calculate the factors of 28978 and 28996 and find the biggest common factor number .

Step-1: Prime Factorization of 28978

Prime factors of 28978 are 2, 14489. Prime factorization of 28978 in exponential form is:

28978 = 2¹ × 14489¹

Step-2: Prime Factorization of 28996

Prime factors of 28996 are 2, 11, 659. Prime factorization of 28996 in exponential form is:

28996 = 2² × 11¹ × 659¹

Step-3: Factors of 28978

List of positive integer factors of 28978 that divides 28978 without a remainder.

1, 2, 14489

Step-4: Factors of 28996

List of positive integer factors of 28996 that divides 28978 without a remainder.

1, 2, 4, 11, 22, 44, 659, 1318, 2636, 7249, 14498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28978 and 28996. The biggest common factor number is the GCF number.
So the greatest common factor 28978 and 28996 is 2.

Also check out the Least Common Multiple of 28978 and 28996