What is the Greatest Common Factor of 5054 and 5070?

Greatest common factor (GCF) of 5054 and 5070 is 2.

GCF(5054,5070) = 2

We will now calculate the prime factors of 5054 and 5070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5054 and 5070.

How to find the GCF of 5054 and 5070?

We will first find the prime factorization of 5054 and 5070. After we will calculate the factors of 5054 and 5070 and find the biggest common factor number .

Step-1: Prime Factorization of 5054

Prime factors of 5054 are 2, 7, 19. Prime factorization of 5054 in exponential form is:

5054 = 2¹ × 7¹ × 19²

Step-2: Prime Factorization of 5070

Prime factors of 5070 are 2, 3, 5, 13. Prime factorization of 5070 in exponential form is:

5070 = 2¹ × 3¹ × 5¹ × 13²

Step-3: Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527

Step-4: Factors of 5070

List of positive integer factors of 5070 that divides 5054 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5054 and 5070. The biggest common factor number is the GCF number.
So the greatest common factor 5054 and 5070 is 2.

Also check out the Least Common Multiple of 5054 and 5070