What is the Greatest Common Factor of 45209 and 45228?

Greatest common factor (GCF) of 45209 and 45228 is 1.

GCF(45209,45228) = 1

We will now calculate the prime factors of 45209 and 45228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45209 and 45228.

How to find the GCF of 45209 and 45228?

We will first find the prime factorization of 45209 and 45228. After we will calculate the factors of 45209 and 45228 and find the biggest common factor number .

Step-1: Prime Factorization of 45209

Prime factors of 45209 are 53, 853. Prime factorization of 45209 in exponential form is:

45209 = 53¹ × 853¹

Step-2: Prime Factorization of 45228

Prime factors of 45228 are 2, 3, 3769. Prime factorization of 45228 in exponential form is:

45228 = 2² × 3¹ × 3769¹

Step-3: Factors of 45209

List of positive integer factors of 45209 that divides 45209 without a remainder.

1, 53, 853

Step-4: Factors of 45228

List of positive integer factors of 45228 that divides 45209 without a remainder.

1, 2, 3, 4, 6, 12, 3769, 7538, 11307, 15076, 22614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45209 and 45228. The biggest common factor number is the GCF number.
So the greatest common factor 45209 and 45228 is 1.

Also check out the Least Common Multiple of 45209 and 45228