What is the Greatest Common Factor of 39488 and 39498?

Greatest common factor (GCF) of 39488 and 39498 is 2.

GCF(39488,39498) = 2

We will now calculate the prime factors of 39488 and 39498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39488 and 39498.

How to find the GCF of 39488 and 39498?

We will first find the prime factorization of 39488 and 39498. After we will calculate the factors of 39488 and 39498 and find the biggest common factor number .

Step-1: Prime Factorization of 39488

Prime factors of 39488 are 2, 617. Prime factorization of 39488 in exponential form is:

39488 = 2⁶ × 617¹

Step-2: Prime Factorization of 39498

Prime factors of 39498 are 2, 3, 29, 227. Prime factorization of 39498 in exponential form is:

39498 = 2¹ × 3¹ × 29¹ × 227¹

Step-3: Factors of 39488

List of positive integer factors of 39488 that divides 39488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 617, 1234, 2468, 4936, 9872, 19744

Step-4: Factors of 39498

List of positive integer factors of 39498 that divides 39488 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 227, 454, 681, 1362, 6583, 13166, 19749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39488 and 39498. The biggest common factor number is the GCF number.
So the greatest common factor 39488 and 39498 is 2.

Also check out the Least Common Multiple of 39488 and 39498