What is the Greatest Common Factor of 5054 and 5064?

Greatest common factor (GCF) of 5054 and 5064 is 2.

GCF(5054,5064) = 2

We will now calculate the prime factors of 5054 and 5064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5054 and 5064.

How to find the GCF of 5054 and 5064?

We will first find the prime factorization of 5054 and 5064. After we will calculate the factors of 5054 and 5064 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 5064

Prime factors of 5064 are 2, 3, 211. Prime factorization of 5064 in exponential form is:

5064 = 2³ × 3¹ × 211¹

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 5064

List of positive integer factors of 5064 that divides 5054 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5054 and 5064. The biggest common factor number is the GCF number.
So the greatest common factor 5054 and 5064 is 2.

Also check out the Least Common Multiple of 5054 and 5064