What is the Greatest Common Factor of 23480 and 23490?

Greatest common factor (GCF) of 23480 and 23490 is 10.

GCF(23480,23490) = 10

We will now calculate the prime factors of 23480 and 23490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23480 and 23490.

How to find the GCF of 23480 and 23490?

We will first find the prime factorization of 23480 and 23490. After we will calculate the factors of 23480 and 23490 and find the biggest common factor number .

Step-1: Prime Factorization of 23480

Prime factors of 23480 are 2, 5, 587. Prime factorization of 23480 in exponential form is:

23480 = 2³ × 5¹ × 587¹

Step-2: Prime Factorization of 23490

Prime factors of 23490 are 2, 3, 5, 29. Prime factorization of 23490 in exponential form is:

23490 = 2¹ × 3⁴ × 5¹ × 29¹

Step-3: Factors of 23480

List of positive integer factors of 23480 that divides 23480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 587, 1174, 2348, 2935, 4696, 5870, 11740

Step-4: Factors of 23490

List of positive integer factors of 23490 that divides 23480 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 261, 270, 290, 405, 435, 522, 783, 810, 870, 1305, 1566, 2349, 2610, 3915, 4698, 7830, 11745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23480 and 23490. The biggest common factor number is the GCF number.
So the greatest common factor 23480 and 23490 is 10.

Also check out the Least Common Multiple of 23480 and 23490