What is the Greatest Common Factor of 58280 and 58298?

Greatest common factor (GCF) of 58280 and 58298 is 2.

GCF(58280,58298) = 2

We will now calculate the prime factors of 58280 and 58298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58280 and 58298.

How to find the GCF of 58280 and 58298?

We will first find the prime factorization of 58280 and 58298. After we will calculate the factors of 58280 and 58298 and find the biggest common factor number .

Step-1: Prime Factorization of 58280

Prime factors of 58280 are 2, 5, 31, 47. Prime factorization of 58280 in exponential form is:

58280 = 2³ × 5¹ × 31¹ × 47¹

Step-2: Prime Factorization of 58298

Prime factors of 58298 are 2, 103, 283. Prime factorization of 58298 in exponential form is:

58298 = 2¹ × 103¹ × 283¹

Step-3: Factors of 58280

List of positive integer factors of 58280 that divides 58280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 47, 62, 94, 124, 155, 188, 235, 248, 310, 376, 470, 620, 940, 1240, 1457, 1880, 2914, 5828, 7285, 11656, 14570, 29140

Step-4: Factors of 58298

List of positive integer factors of 58298 that divides 58280 without a remainder.

1, 2, 103, 206, 283, 566, 29149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58280 and 58298. The biggest common factor number is the GCF number.
So the greatest common factor 58280 and 58298 is 2.

Also check out the Least Common Multiple of 58280 and 58298