What is the Greatest Common Factor of 2890 and 2900?

Greatest common factor (GCF) of 2890 and 2900 is 10.

GCF(2890,2900) = 10

We will now calculate the prime factors of 2890 and 2900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2890 and 2900.

How to find the GCF of 2890 and 2900?

We will first find the prime factorization of 2890 and 2900. After we will calculate the factors of 2890 and 2900 and find the biggest common factor number .

Step-1: Prime Factorization of 2890

Prime factors of 2890 are 2, 5, 17. Prime factorization of 2890 in exponential form is:

2890 = 2¹ × 5¹ × 17²

Step-2: 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-3: Factors of 2890

List of positive integer factors of 2890 that divides 2890 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445

Step-4: Factors of 2900

List of positive integer factors of 2900 that divides 2890 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2890 and 2900. The biggest common factor number is the GCF number.
So the greatest common factor 2890 and 2900 is 10.

Also check out the Least Common Multiple of 2890 and 2900