What is the Greatest Common Factor of 45066 and 45076?

Greatest common factor (GCF) of 45066 and 45076 is 2.

GCF(45066,45076) = 2

We will now calculate the prime factors of 45066 and 45076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45066 and 45076.

How to find the GCF of 45066 and 45076?

We will first find the prime factorization of 45066 and 45076. After we will calculate the factors of 45066 and 45076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45076

Prime factors of 45076 are 2, 59, 191. Prime factorization of 45076 in exponential form is:

45076 = 2² × 59¹ × 191¹

Step-3: Factors of 45066

List of positive integer factors of 45066 that divides 45066 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

Step-4: Factors of 45076

List of positive integer factors of 45076 that divides 45066 without a remainder.

1, 2, 4, 59, 118, 191, 236, 382, 764, 11269, 22538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45066 and 45076. The biggest common factor number is the GCF number.
So the greatest common factor 45066 and 45076 is 2.

Also check out the Least Common Multiple of 45066 and 45076