What is the Greatest Common Factor of 2450 and 2470?

Greatest common factor (GCF) of 2450 and 2470 is 10.

GCF(2450,2470) = 10

We will now calculate the prime factors of 2450 and 2470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2450 and 2470.

How to find the GCF of 2450 and 2470?

We will first find the prime factorization of 2450 and 2470. After we will calculate the factors of 2450 and 2470 and find the biggest common factor number .

Step-1: Prime Factorization of 2450

Prime factors of 2450 are 2, 5, 7. Prime factorization of 2450 in exponential form is:

2450 = 2¹ × 5² × 7²

Step-2: Prime Factorization of 2470

Prime factors of 2470 are 2, 5, 13, 19. Prime factorization of 2470 in exponential form is:

2470 = 2¹ × 5¹ × 13¹ × 19¹

Step-3: Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225

Step-4: Factors of 2470

List of positive integer factors of 2470 that divides 2450 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2450 and 2470. The biggest common factor number is the GCF number.
So the greatest common factor 2450 and 2470 is 10.

Also check out the Least Common Multiple of 2450 and 2470