What is the Greatest Common Factor of 58475 and 58480?

Greatest common factor (GCF) of 58475 and 58480 is 5.

GCF(58475,58480) = 5

We will now calculate the prime factors of 58475 and 58480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58475 and 58480.

How to find the GCF of 58475 and 58480?

We will first find the prime factorization of 58475 and 58480. After we will calculate the factors of 58475 and 58480 and find the biggest common factor number .

Step-1: Prime Factorization of 58475

Prime factors of 58475 are 5, 2339. Prime factorization of 58475 in exponential form is:

58475 = 5² × 2339¹

Step-2: Prime Factorization of 58480

Prime factors of 58480 are 2, 5, 17, 43. Prime factorization of 58480 in exponential form is:

58480 = 2⁴ × 5¹ × 17¹ × 43¹

Step-3: Factors of 58475

List of positive integer factors of 58475 that divides 58475 without a remainder.

1, 5, 25, 2339, 11695

Step-4: Factors of 58480

List of positive integer factors of 58480 that divides 58475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 43, 68, 80, 85, 86, 136, 170, 172, 215, 272, 340, 344, 430, 680, 688, 731, 860, 1360, 1462, 1720, 2924, 3440, 3655, 5848, 7310, 11696, 14620, 29240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58475 and 58480. The biggest common factor number is the GCF number.
So the greatest common factor 58475 and 58480 is 5.

Also check out the Least Common Multiple of 58475 and 58480