What is the Greatest Common Factor of 45195 and 45212?

Greatest common factor (GCF) of 45195 and 45212 is 1.

GCF(45195,45212) = 1

We will now calculate the prime factors of 45195 and 45212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45195 and 45212.

How to find the GCF of 45195 and 45212?

We will first find the prime factorization of 45195 and 45212. After we will calculate the factors of 45195 and 45212 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 45212

Prime factors of 45212 are 2, 89, 127. Prime factorization of 45212 in exponential form is:

45212 = 2² × 89¹ × 127¹

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 45212

List of positive integer factors of 45212 that divides 45195 without a remainder.

1, 2, 4, 89, 127, 178, 254, 356, 508, 11303, 22606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45195 and 45212. The biggest common factor number is the GCF number.
So the greatest common factor 45195 and 45212 is 1.

Also check out the Least Common Multiple of 45195 and 45212