What is the Greatest Common Factor of 45052 and 45066?

Greatest common factor (GCF) of 45052 and 45066 is 14.

GCF(45052,45066) = 14

We will now calculate the prime factors of 45052 and 45066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45052 and 45066.

How to find the GCF of 45052 and 45066?

We will first find the prime factorization of 45052 and 45066. After we will calculate the factors of 45052 and 45066 and find the biggest common factor number .

Step-1: Prime Factorization of 45052

Prime factors of 45052 are 2, 7, 1609. Prime factorization of 45052 in exponential form is:

45052 = 2² × 7¹ × 1609¹

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 45052

List of positive integer factors of 45052 that divides 45052 without a remainder.

1, 2, 4, 7, 14, 28, 1609, 3218, 6436, 11263, 22526

Step-4: Factors of 45066

List of positive integer factors of 45066 that divides 45052 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 45052 and 45066. The biggest common factor number is the GCF number.
So the greatest common factor 45052 and 45066 is 14.

Also check out the Least Common Multiple of 45052 and 45066