What is the Greatest Common Factor of 45100 and 45116?

Greatest common factor (GCF) of 45100 and 45116 is 4.

GCF(45100,45116) = 4

We will now calculate the prime factors of 45100 and 45116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45100 and 45116.

How to find the GCF of 45100 and 45116?

We will first find the prime factorization of 45100 and 45116. After we will calculate the factors of 45100 and 45116 and find the biggest common factor number .

Step-1: Prime Factorization of 45100

Prime factors of 45100 are 2, 5, 11, 41. Prime factorization of 45100 in exponential form is:

45100 = 2² × 5² × 11¹ × 41¹

Step-2: Prime Factorization of 45116

Prime factors of 45116 are 2, 11279. Prime factorization of 45116 in exponential form is:

45116 = 2² × 11279¹

Step-3: Factors of 45100

List of positive integer factors of 45100 that divides 45100 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 41, 44, 50, 55, 82, 100, 110, 164, 205, 220, 275, 410, 451, 550, 820, 902, 1025, 1100, 1804, 2050, 2255, 4100, 4510, 9020, 11275, 22550

Step-4: Factors of 45116

List of positive integer factors of 45116 that divides 45100 without a remainder.

1, 2, 4, 11279, 22558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45100 and 45116. The biggest common factor number is the GCF number.
So the greatest common factor 45100 and 45116 is 4.

Also check out the Least Common Multiple of 45100 and 45116