What is the Greatest Common Factor of 45100 and 45112?

Greatest common factor (GCF) of 45100 and 45112 is 4.

GCF(45100,45112) = 4

We will now calculate the prime factors of 45100 and 45112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45100 and 45112.

How to find the GCF of 45100 and 45112?

We will first find the prime factorization of 45100 and 45112. After we will calculate the factors of 45100 and 45112 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 45112

Prime factors of 45112 are 2, 5639. Prime factorization of 45112 in exponential form is:

45112 = 2³ × 5639¹

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 45112

List of positive integer factors of 45112 that divides 45100 without a remainder.

1, 2, 4, 8, 5639, 11278, 22556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45100 and 45112. The biggest common factor number is the GCF number.
So the greatest common factor 45100 and 45112 is 4.

Also check out the Least Common Multiple of 45100 and 45112