What is the Greatest Common Factor of 2900 and 2907?

Greatest common factor (GCF) of 2900 and 2907 is 1.

GCF(2900,2907) = 1

We will now calculate the prime factors of 2900 and 2907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2900 and 2907.

How to find the GCF of 2900 and 2907?

We will first find the prime factorization of 2900 and 2907. After we will calculate the factors of 2900 and 2907 and find the biggest common factor number .

Step-1: Prime Factorization of 2900

Prime factors of 2900 are 2, 5, 29. Prime factorization of 2900 in exponential form is:

2900 = 2² × 5² × 29¹

Step-2: Prime Factorization of 2907

Prime factors of 2907 are 3, 17, 19. Prime factorization of 2907 in exponential form is:

2907 = 3² × 17¹ × 19¹

Step-3: Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450

Step-4: Factors of 2907

List of positive integer factors of 2907 that divides 2900 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2900 and 2907. The biggest common factor number is the GCF number.
So the greatest common factor 2900 and 2907 is 1.

Also check out the Least Common Multiple of 2900 and 2907