What is the Greatest Common Factor of 45550 and 45560?

Greatest common factor (GCF) of 45550 and 45560 is 10.

GCF(45550,45560) = 10

We will now calculate the prime factors of 45550 and 45560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45550 and 45560.

How to find the GCF of 45550 and 45560?

We will first find the prime factorization of 45550 and 45560. After we will calculate the factors of 45550 and 45560 and find the biggest common factor number .

Step-1: Prime Factorization of 45550

Prime factors of 45550 are 2, 5, 911. Prime factorization of 45550 in exponential form is:

45550 = 2¹ × 5² × 911¹

Step-2: 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-3: Factors of 45550

List of positive integer factors of 45550 that divides 45550 without a remainder.

1, 2, 5, 10, 25, 50, 911, 1822, 4555, 9110, 22775

Step-4: Factors of 45560

List of positive integer factors of 45560 that divides 45550 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45550 and 45560. The biggest common factor number is the GCF number.
So the greatest common factor 45550 and 45560 is 10.

Also check out the Least Common Multiple of 45550 and 45560