What is the Greatest Common Factor of 45514 and 45520?

Greatest common factor (GCF) of 45514 and 45520 is 2.

GCF(45514,45520) = 2

We will now calculate the prime factors of 45514 and 45520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45514 and 45520.

How to find the GCF of 45514 and 45520?

We will first find the prime factorization of 45514 and 45520. After we will calculate the factors of 45514 and 45520 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45520

Prime factors of 45520 are 2, 5, 569. Prime factorization of 45520 in exponential form is:

45520 = 2⁴ × 5¹ × 569¹

Step-3: Factors of 45514

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

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

Step-4: Factors of 45520

List of positive integer factors of 45520 that divides 45514 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 569, 1138, 2276, 2845, 4552, 5690, 9104, 11380, 22760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45514 and 45520. The biggest common factor number is the GCF number.
So the greatest common factor 45514 and 45520 is 2.

Also check out the Least Common Multiple of 45514 and 45520