What is the Greatest Common Factor of 45514 and 45521?

Greatest common factor (GCF) of 45514 and 45521 is 7.

GCF(45514,45521) = 7

We will now calculate the prime factors of 45514 and 45521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45514 and 45521.

How to find the GCF of 45514 and 45521?

We will first find the prime factorization of 45514 and 45521. After we will calculate the factors of 45514 and 45521 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 45521

Prime factors of 45521 are 7, 929. Prime factorization of 45521 in exponential form is:

45521 = 7² × 929¹

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 45521

List of positive integer factors of 45521 that divides 45514 without a remainder.

1, 7, 49, 929, 6503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45514 and 45521. The biggest common factor number is the GCF number.
So the greatest common factor 45514 and 45521 is 7.

Also check out the Least Common Multiple of 45514 and 45521