What is the Greatest Common Factor of 45201 and 45217?

Greatest common factor (GCF) of 45201 and 45217 is 1.

GCF(45201,45217) = 1

We will now calculate the prime factors of 45201 and 45217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45201 and 45217.

How to find the GCF of 45201 and 45217?

We will first find the prime factorization of 45201 and 45217. After we will calculate the factors of 45201 and 45217 and find the biggest common factor number .

Step-1: Prime Factorization of 45201

Prime factors of 45201 are 3, 13, 19, 61. Prime factorization of 45201 in exponential form is:

45201 = 3¹ × 13¹ × 19¹ × 61¹

Step-2: Prime Factorization of 45217

Prime factors of 45217 are 103, 439. Prime factorization of 45217 in exponential form is:

45217 = 103¹ × 439¹

Step-3: Factors of 45201

List of positive integer factors of 45201 that divides 45201 without a remainder.

1, 3, 13, 19, 39, 57, 61, 183, 247, 741, 793, 1159, 2379, 3477, 15067

Step-4: Factors of 45217

List of positive integer factors of 45217 that divides 45201 without a remainder.

1, 103, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45201 and 45217. The biggest common factor number is the GCF number.
So the greatest common factor 45201 and 45217 is 1.

Also check out the Least Common Multiple of 45201 and 45217