What is the Greatest Common Factor of 2070 and 2090?

Greatest common factor (GCF) of 2070 and 2090 is 10.

GCF(2070,2090) = 10

We will now calculate the prime factors of 2070 and 2090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2070 and 2090.

How to find the GCF of 2070 and 2090?

We will first find the prime factorization of 2070 and 2090. After we will calculate the factors of 2070 and 2090 and find the biggest common factor number .

Step-1: Prime Factorization of 2070

Prime factors of 2070 are 2, 3, 5, 23. Prime factorization of 2070 in exponential form is:

2070 = 2¹ × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 2090

Prime factors of 2090 are 2, 5, 11, 19. Prime factorization of 2090 in exponential form is:

2090 = 2¹ × 5¹ × 11¹ × 19¹

Step-3: Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035

Step-4: Factors of 2090

List of positive integer factors of 2090 that divides 2070 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2070 and 2090. The biggest common factor number is the GCF number.
So the greatest common factor 2070 and 2090 is 10.

Also check out the Least Common Multiple of 2070 and 2090