What is the Greatest Common Factor of 28996 and 29007?

Greatest common factor (GCF) of 28996 and 29007 is 11.

GCF(28996,29007) = 11

We will now calculate the prime factors of 28996 and 29007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28996 and 29007.

How to find the GCF of 28996 and 29007?

We will first find the prime factorization of 28996 and 29007. After we will calculate the factors of 28996 and 29007 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29007

Prime factors of 29007 are 3, 11, 293. Prime factorization of 29007 in exponential form is:

29007 = 3² × 11¹ × 293¹

Step-3: Factors of 28996

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

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

Step-4: Factors of 29007

List of positive integer factors of 29007 that divides 28996 without a remainder.

1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28996 and 29007. The biggest common factor number is the GCF number.
So the greatest common factor 28996 and 29007 is 11.

Also check out the Least Common Multiple of 28996 and 29007