What is the Greatest Common Factor of 45500 and 45520?

Greatest common factor (GCF) of 45500 and 45520 is 20.

GCF(45500,45520) = 20

We will now calculate the prime factors of 45500 and 45520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45500 and 45520.

How to find the GCF of 45500 and 45520?

We will first find the prime factorization of 45500 and 45520. After we will calculate the factors of 45500 and 45520 and find the biggest common factor number .

Step-1: Prime Factorization of 45500

Prime factors of 45500 are 2, 5, 7, 13. Prime factorization of 45500 in exponential form is:

45500 = 2² × 5³ × 7¹ × 13¹

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 45500

List of positive integer factors of 45500 that divides 45500 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 125, 130, 140, 175, 182, 250, 260, 325, 350, 364, 455, 500, 650, 700, 875, 910, 1300, 1625, 1750, 1820, 2275, 3250, 3500, 4550, 6500, 9100, 11375, 22750

Step-4: Factors of 45520

List of positive integer factors of 45520 that divides 45500 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 45500 and 45520. The biggest common factor number is the GCF number.
So the greatest common factor 45500 and 45520 is 20.

Also check out the Least Common Multiple of 45500 and 45520