What is the Greatest Common Factor of 58460 and 58480?

Greatest common factor (GCF) of 58460 and 58480 is 20.

GCF(58460,58480) = 20

We will now calculate the prime factors of 58460 and 58480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58460 and 58480.

How to find the GCF of 58460 and 58480?

We will first find the prime factorization of 58460 and 58480. After we will calculate the factors of 58460 and 58480 and find the biggest common factor number .

Step-1: Prime Factorization of 58460

Prime factors of 58460 are 2, 5, 37, 79. Prime factorization of 58460 in exponential form is:

58460 = 2² × 5¹ × 37¹ × 79¹

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 58460

List of positive integer factors of 58460 that divides 58460 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 79, 148, 158, 185, 316, 370, 395, 740, 790, 1580, 2923, 5846, 11692, 14615, 29230

Step-4: Factors of 58480

List of positive integer factors of 58480 that divides 58460 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 58460 and 58480. The biggest common factor number is the GCF number.
So the greatest common factor 58460 and 58480 is 20.

Also check out the Least Common Multiple of 58460 and 58480