What is the Greatest Common Factor of 45100 and 45109?

Greatest common factor (GCF) of 45100 and 45109 is 1.

GCF(45100,45109) = 1

We will now calculate the prime factors of 45100 and 45109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45100 and 45109.

How to find the GCF of 45100 and 45109?

We will first find the prime factorization of 45100 and 45109. After we will calculate the factors of 45100 and 45109 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 45109

Prime factors of 45109 are 79, 571. Prime factorization of 45109 in exponential form is:

45109 = 79¹ × 571¹

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 45109

List of positive integer factors of 45109 that divides 45100 without a remainder.

1, 79, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45100 and 45109. The biggest common factor number is the GCF number.
So the greatest common factor 45100 and 45109 is 1.

Also check out the Least Common Multiple of 45100 and 45109