What is the Greatest Common Factor of 58470 and 58480?

Greatest common factor (GCF) of 58470 and 58480 is 10.

GCF(58470,58480) = 10

We will now calculate the prime factors of 58470 and 58480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58470 and 58480.

How to find the GCF of 58470 and 58480?

We will first find the prime factorization of 58470 and 58480. After we will calculate the factors of 58470 and 58480 and find the biggest common factor number .

Step-1: Prime Factorization of 58470

Prime factors of 58470 are 2, 3, 5, 1949. Prime factorization of 58470 in exponential form is:

58470 = 2¹ × 3¹ × 5¹ × 1949¹

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 58470

List of positive integer factors of 58470 that divides 58470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1949, 3898, 5847, 9745, 11694, 19490, 29235

Step-4: Factors of 58480

List of positive integer factors of 58480 that divides 58470 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 58470 and 58480. The biggest common factor number is the GCF number.
So the greatest common factor 58470 and 58480 is 10.

Also check out the Least Common Multiple of 58470 and 58480