What is the Greatest Common Factor of 5058 and 5076?

Greatest common factor (GCF) of 5058 and 5076 is 18.

GCF(5058,5076) = 18

We will now calculate the prime factors of 5058 and 5076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5058 and 5076.

How to find the GCF of 5058 and 5076?

We will first find the prime factorization of 5058 and 5076. After we will calculate the factors of 5058 and 5076 and find the biggest common factor number .

Step-1: Prime Factorization of 5058

Prime factors of 5058 are 2, 3, 281. Prime factorization of 5058 in exponential form is:

5058 = 2¹ × 3² × 281¹

Step-2: Prime Factorization of 5076

Prime factors of 5076 are 2, 3, 47. Prime factorization of 5076 in exponential form is:

5076 = 2² × 3³ × 47¹

Step-3: Factors of 5058

List of positive integer factors of 5058 that divides 5058 without a remainder.

1, 2, 3, 6, 9, 18, 281, 562, 843, 1686, 2529

Step-4: Factors of 5076

List of positive integer factors of 5076 that divides 5058 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5058 and 5076. The biggest common factor number is the GCF number.
So the greatest common factor 5058 and 5076 is 18.

Also check out the Least Common Multiple of 5058 and 5076