What is the Greatest Common Factor of 45059 and 45066?

Greatest common factor (GCF) of 45059 and 45066 is 7.

GCF(45059,45066) = 7

We will now calculate the prime factors of 45059 and 45066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45059 and 45066.

How to find the GCF of 45059 and 45066?

We will first find the prime factorization of 45059 and 45066. After we will calculate the factors of 45059 and 45066 and find the biggest common factor number .

Step-1: Prime Factorization of 45059

Prime factors of 45059 are 7, 41, 157. Prime factorization of 45059 in exponential form is:

45059 = 7¹ × 41¹ × 157¹

Step-2: Prime Factorization of 45066

Prime factors of 45066 are 2, 3, 7, 29, 37. Prime factorization of 45066 in exponential form is:

45066 = 2¹ × 3¹ × 7¹ × 29¹ × 37¹

Step-3: Factors of 45059

List of positive integer factors of 45059 that divides 45059 without a remainder.

1, 7, 41, 157, 287, 1099, 6437

Step-4: Factors of 45066

List of positive integer factors of 45066 that divides 45059 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 37, 42, 58, 74, 87, 111, 174, 203, 222, 259, 406, 518, 609, 777, 1073, 1218, 1554, 2146, 3219, 6438, 7511, 15022, 22533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45059 and 45066. The biggest common factor number is the GCF number.
So the greatest common factor 45059 and 45066 is 7.

Also check out the Least Common Multiple of 45059 and 45066