What is the Greatest Common Factor of 45102 and 45111?

Greatest common factor (GCF) of 45102 and 45111 is 3.

GCF(45102,45111) = 3

We will now calculate the prime factors of 45102 and 45111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45102 and 45111.

How to find the GCF of 45102 and 45111?

We will first find the prime factorization of 45102 and 45111. After we will calculate the factors of 45102 and 45111 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 45111

Prime factors of 45111 are 3, 11, 1367. Prime factorization of 45111 in exponential form is:

45111 = 3¹ × 11¹ × 1367¹

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 45111

List of positive integer factors of 45111 that divides 45102 without a remainder.

1, 3, 11, 33, 1367, 4101, 15037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45102 and 45111. The biggest common factor number is the GCF number.
So the greatest common factor 45102 and 45111 is 3.

Also check out the Least Common Multiple of 45102 and 45111