What is the Greatest Common Factor of 45021 and 45039?

Greatest common factor (GCF) of 45021 and 45039 is 3.

GCF(45021,45039) = 3

We will now calculate the prime factors of 45021 and 45039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45021 and 45039.

How to find the GCF of 45021 and 45039?

We will first find the prime factorization of 45021 and 45039. After we will calculate the factors of 45021 and 45039 and find the biggest common factor number .

Step-1: Prime Factorization of 45021

Prime factors of 45021 are 3, 43, 349. Prime factorization of 45021 in exponential form is:

45021 = 3¹ × 43¹ × 349¹

Step-2: Prime Factorization of 45039

Prime factors of 45039 are 3, 15013. Prime factorization of 45039 in exponential form is:

45039 = 3¹ × 15013¹

Step-3: Factors of 45021

List of positive integer factors of 45021 that divides 45021 without a remainder.

1, 3, 43, 129, 349, 1047, 15007

Step-4: Factors of 45039

List of positive integer factors of 45039 that divides 45021 without a remainder.

1, 3, 15013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45021 and 45039. The biggest common factor number is the GCF number.
So the greatest common factor 45021 and 45039 is 3.

Also check out the Least Common Multiple of 45021 and 45039