What is the Greatest Common Factor of 45100 and 45110?

Greatest common factor (GCF) of 45100 and 45110 is 10.

GCF(45100,45110) = 10

We will now calculate the prime factors of 45100 and 45110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45100 and 45110.

How to find the GCF of 45100 and 45110?

We will first find the prime factorization of 45100 and 45110. After we will calculate the factors of 45100 and 45110 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 45110

Prime factors of 45110 are 2, 5, 13, 347. Prime factorization of 45110 in exponential form is:

45110 = 2¹ × 5¹ × 13¹ × 347¹

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 45110

List of positive integer factors of 45110 that divides 45100 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 347, 694, 1735, 3470, 4511, 9022, 22555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45100 and 45110. The biggest common factor number is the GCF number.
So the greatest common factor 45100 and 45110 is 10.

Also check out the Least Common Multiple of 45100 and 45110