What is the Greatest Common Factor of 45560 and 45577?

Greatest common factor (GCF) of 45560 and 45577 is 17.

GCF(45560,45577) = 17

We will now calculate the prime factors of 45560 and 45577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45560 and 45577.

How to find the GCF of 45560 and 45577?

We will first find the prime factorization of 45560 and 45577. After we will calculate the factors of 45560 and 45577 and find the biggest common factor number .

Step-1: Prime Factorization of 45560

Prime factors of 45560 are 2, 5, 17, 67. Prime factorization of 45560 in exponential form is:

45560 = 2³ × 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 45577

Prime factors of 45577 are 7, 17, 383. Prime factorization of 45577 in exponential form is:

45577 = 7¹ × 17¹ × 383¹

Step-3: Factors of 45560

List of positive integer factors of 45560 that divides 45560 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 67, 68, 85, 134, 136, 170, 268, 335, 340, 536, 670, 680, 1139, 1340, 2278, 2680, 4556, 5695, 9112, 11390, 22780

Step-4: Factors of 45577

List of positive integer factors of 45577 that divides 45560 without a remainder.

1, 7, 17, 119, 383, 2681, 6511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45560 and 45577. The biggest common factor number is the GCF number.
So the greatest common factor 45560 and 45577 is 17.

Also check out the Least Common Multiple of 45560 and 45577