What is the Greatest Common Factor of 45508 and 45514?

Greatest common factor (GCF) of 45508 and 45514 is 2.

GCF(45508,45514) = 2

We will now calculate the prime factors of 45508 and 45514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45508 and 45514.

How to find the GCF of 45508 and 45514?

We will first find the prime factorization of 45508 and 45514. After we will calculate the factors of 45508 and 45514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45514

Prime factors of 45514 are 2, 7, 3251. Prime factorization of 45514 in exponential form is:

45514 = 2¹ × 7¹ × 3251¹

Step-3: Factors of 45508

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

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

Step-4: Factors of 45514

List of positive integer factors of 45514 that divides 45508 without a remainder.

1, 2, 7, 14, 3251, 6502, 22757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45508 and 45514. The biggest common factor number is the GCF number.
So the greatest common factor 45508 and 45514 is 2.

Also check out the Least Common Multiple of 45508 and 45514