What is the Greatest Common Factor of 23470 and 23482?

Greatest common factor (GCF) of 23470 and 23482 is 2.

GCF(23470,23482) = 2

We will now calculate the prime factors of 23470 and 23482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23470 and 23482.

How to find the GCF of 23470 and 23482?

We will first find the prime factorization of 23470 and 23482. After we will calculate the factors of 23470 and 23482 and find the biggest common factor number .

Step-1: Prime Factorization of 23470

Prime factors of 23470 are 2, 5, 2347. Prime factorization of 23470 in exponential form is:

23470 = 2¹ × 5¹ × 2347¹

Step-2: Prime Factorization of 23482

Prime factors of 23482 are 2, 59, 199. Prime factorization of 23482 in exponential form is:

23482 = 2¹ × 59¹ × 199¹

Step-3: Factors of 23470

List of positive integer factors of 23470 that divides 23470 without a remainder.

1, 2, 5, 10, 2347, 4694, 11735

Step-4: Factors of 23482

List of positive integer factors of 23482 that divides 23470 without a remainder.

1, 2, 59, 118, 199, 398, 11741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23470 and 23482. The biggest common factor number is the GCF number.
So the greatest common factor 23470 and 23482 is 2.

Also check out the Least Common Multiple of 23470 and 23482