What is the Greatest Common Factor of 45490 and 45508?

Greatest common factor (GCF) of 45490 and 45508 is 2.

GCF(45490,45508) = 2

We will now calculate the prime factors of 45490 and 45508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45490 and 45508.

How to find the GCF of 45490 and 45508?

We will first find the prime factorization of 45490 and 45508. After we will calculate the factors of 45490 and 45508 and find the biggest common factor number .

Step-1: Prime Factorization of 45490

Prime factors of 45490 are 2, 5, 4549. Prime factorization of 45490 in exponential form is:

45490 = 2¹ × 5¹ × 4549¹

Step-2: Prime Factorization of 45508

Prime factors of 45508 are 2, 31, 367. Prime factorization of 45508 in exponential form is:

45508 = 2² × 31¹ × 367¹

Step-3: Factors of 45490

List of positive integer factors of 45490 that divides 45490 without a remainder.

1, 2, 5, 10, 4549, 9098, 22745

Step-4: Factors of 45508

List of positive integer factors of 45508 that divides 45490 without a remainder.

1, 2, 4, 31, 62, 124, 367, 734, 1468, 11377, 22754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45490 and 45508. The biggest common factor number is the GCF number.
So the greatest common factor 45490 and 45508 is 2.

Also check out the Least Common Multiple of 45490 and 45508