What is the Greatest Common Factor of 45498 and 45512?

Greatest common factor (GCF) of 45498 and 45512 is 2.

GCF(45498,45512) = 2

We will now calculate the prime factors of 45498 and 45512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45498 and 45512.

How to find the GCF of 45498 and 45512?

We will first find the prime factorization of 45498 and 45512. After we will calculate the factors of 45498 and 45512 and find the biggest common factor number .

Step-1: Prime Factorization of 45498

Prime factors of 45498 are 2, 3, 7583. Prime factorization of 45498 in exponential form is:

45498 = 2¹ × 3¹ × 7583¹

Step-2: Prime Factorization of 45512

Prime factors of 45512 are 2, 5689. Prime factorization of 45512 in exponential form is:

45512 = 2³ × 5689¹

Step-3: Factors of 45498

List of positive integer factors of 45498 that divides 45498 without a remainder.

1, 2, 3, 6, 7583, 15166, 22749

Step-4: Factors of 45512

List of positive integer factors of 45512 that divides 45498 without a remainder.

1, 2, 4, 8, 5689, 11378, 22756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45498 and 45512. The biggest common factor number is the GCF number.
So the greatest common factor 45498 and 45512 is 2.

Also check out the Least Common Multiple of 45498 and 45512