What is the Greatest Common Factor of 45100 and 45107?

Greatest common factor (GCF) of 45100 and 45107 is 1.

GCF(45100,45107) = 1

We will now calculate the prime factors of 45100 and 45107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45100 and 45107.

How to find the GCF of 45100 and 45107?

We will first find the prime factorization of 45100 and 45107. After we will calculate the factors of 45100 and 45107 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 45107

Prime factors of 45107 are 43, 1049. Prime factorization of 45107 in exponential form is:

45107 = 43¹ × 1049¹

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 45107

List of positive integer factors of 45107 that divides 45100 without a remainder.

1, 43, 1049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45100 and 45107. The biggest common factor number is the GCF number.
So the greatest common factor 45100 and 45107 is 1.

Also check out the Least Common Multiple of 45100 and 45107