What is the Greatest Common Factor of 45195 and 45213?

Greatest common factor (GCF) of 45195 and 45213 is 3.

GCF(45195,45213) = 3

We will now calculate the prime factors of 45195 and 45213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45195 and 45213.

How to find the GCF of 45195 and 45213?

We will first find the prime factorization of 45195 and 45213. After we will calculate the factors of 45195 and 45213 and find the biggest common factor number .

Step-1: Prime Factorization of 45195

Prime factors of 45195 are 3, 5, 23, 131. Prime factorization of 45195 in exponential form is:

45195 = 3¹ × 5¹ × 23¹ × 131¹

Step-2: Prime Factorization of 45213

Prime factors of 45213 are 3, 7, 2153. Prime factorization of 45213 in exponential form is:

45213 = 3¹ × 7¹ × 2153¹

Step-3: Factors of 45195

List of positive integer factors of 45195 that divides 45195 without a remainder.

1, 3, 5, 15, 23, 69, 115, 131, 345, 393, 655, 1965, 3013, 9039, 15065

Step-4: Factors of 45213

List of positive integer factors of 45213 that divides 45195 without a remainder.

1, 3, 7, 21, 2153, 6459, 15071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45195 and 45213. The biggest common factor number is the GCF number.
So the greatest common factor 45195 and 45213 is 3.

Also check out the Least Common Multiple of 45195 and 45213