What is the Greatest Common Factor of 45580 and 45586?

Greatest common factor (GCF) of 45580 and 45586 is 2.

GCF(45580,45586) = 2

We will now calculate the prime factors of 45580 and 45586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45580 and 45586.

How to find the GCF of 45580 and 45586?

We will first find the prime factorization of 45580 and 45586. After we will calculate the factors of 45580 and 45586 and find the biggest common factor number .

Step-1: Prime Factorization of 45580

Prime factors of 45580 are 2, 5, 43, 53. Prime factorization of 45580 in exponential form is:

45580 = 2² × 5¹ × 43¹ × 53¹

Step-2: Prime Factorization of 45586

Prime factors of 45586 are 2, 23, 991. Prime factorization of 45586 in exponential form is:

45586 = 2¹ × 23¹ × 991¹

Step-3: Factors of 45580

List of positive integer factors of 45580 that divides 45580 without a remainder.

1, 2, 4, 5, 10, 20, 43, 53, 86, 106, 172, 212, 215, 265, 430, 530, 860, 1060, 2279, 4558, 9116, 11395, 22790

Step-4: Factors of 45586

List of positive integer factors of 45586 that divides 45580 without a remainder.

1, 2, 23, 46, 991, 1982, 22793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45580 and 45586. The biggest common factor number is the GCF number.
So the greatest common factor 45580 and 45586 is 2.

Also check out the Least Common Multiple of 45580 and 45586