What is the Greatest Common Factor of 45102 and 45117?

Greatest common factor (GCF) of 45102 and 45117 is 3.

GCF(45102,45117) = 3

We will now calculate the prime factors of 45102 and 45117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45102 and 45117.

How to find the GCF of 45102 and 45117?

We will first find the prime factorization of 45102 and 45117. After we will calculate the factors of 45102 and 45117 and find the biggest common factor number .

Step-1: Prime Factorization of 45102

Prime factors of 45102 are 2, 3, 7517. Prime factorization of 45102 in exponential form is:

45102 = 2¹ × 3¹ × 7517¹

Step-2: Prime Factorization of 45117

Prime factors of 45117 are 3, 557. Prime factorization of 45117 in exponential form is:

45117 = 3⁴ × 557¹

Step-3: Factors of 45102

List of positive integer factors of 45102 that divides 45102 without a remainder.

1, 2, 3, 6, 7517, 15034, 22551

Step-4: Factors of 45117

List of positive integer factors of 45117 that divides 45102 without a remainder.

1, 3, 9, 27, 81, 557, 1671, 5013, 15039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45102 and 45117. The biggest common factor number is the GCF number.
So the greatest common factor 45102 and 45117 is 3.

Also check out the Least Common Multiple of 45102 and 45117