What is the Greatest Common Factor of 45033 and 45051?

Greatest common factor (GCF) of 45033 and 45051 is 3.

GCF(45033,45051) = 3

We will now calculate the prime factors of 45033 and 45051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45033 and 45051.

How to find the GCF of 45033 and 45051?

We will first find the prime factorization of 45033 and 45051. After we will calculate the factors of 45033 and 45051 and find the biggest common factor number .

Step-1: Prime Factorization of 45033

Prime factors of 45033 are 3, 17, 883. Prime factorization of 45033 in exponential form is:

45033 = 3¹ × 17¹ × 883¹

Step-2: Prime Factorization of 45051

Prime factors of 45051 are 3, 15017. Prime factorization of 45051 in exponential form is:

45051 = 3¹ × 15017¹

Step-3: Factors of 45033

List of positive integer factors of 45033 that divides 45033 without a remainder.

1, 3, 17, 51, 883, 2649, 15011

Step-4: Factors of 45051

List of positive integer factors of 45051 that divides 45033 without a remainder.

1, 3, 15017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45033 and 45051. The biggest common factor number is the GCF number.
So the greatest common factor 45033 and 45051 is 3.

Also check out the Least Common Multiple of 45033 and 45051