What is the Greatest Common Factor of 45080 and 45100?

Greatest common factor (GCF) of 45080 and 45100 is 20.

GCF(45080,45100) = 20

We will now calculate the prime factors of 45080 and 45100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45080 and 45100.

How to find the GCF of 45080 and 45100?

We will first find the prime factorization of 45080 and 45100. After we will calculate the factors of 45080 and 45100 and find the biggest common factor number .

Step-1: Prime Factorization of 45080

Prime factors of 45080 are 2, 5, 7, 23. Prime factorization of 45080 in exponential form is:

45080 = 2³ × 5¹ × 7² × 23¹

Step-2: 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-3: Factors of 45080

List of positive integer factors of 45080 that divides 45080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 49, 56, 70, 92, 98, 115, 140, 161, 184, 196, 230, 245, 280, 322, 392, 460, 490, 644, 805, 920, 980, 1127, 1288, 1610, 1960, 2254, 3220, 4508, 5635, 6440, 9016, 11270, 22540

Step-4: Factors of 45100

List of positive integer factors of 45100 that divides 45080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45080 and 45100. The biggest common factor number is the GCF number.
So the greatest common factor 45080 and 45100 is 20.

Also check out the Least Common Multiple of 45080 and 45100