What is the Greatest Common Factor of 45361 and 45372?

Greatest common factor (GCF) of 45361 and 45372 is 1.

GCF(45361,45372) = 1

We will now calculate the prime factors of 45361 and 45372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45361 and 45372.

How to find the GCF of 45361 and 45372?

We will first find the prime factorization of 45361 and 45372. After we will calculate the factors of 45361 and 45372 and find the biggest common factor number .

Step-1: Prime Factorization of 45361

Prime factors of 45361 are 45361. Prime factorization of 45361 in exponential form is:

45361 = 45361¹

Step-2: Prime Factorization of 45372

Prime factors of 45372 are 2, 3, 19, 199. Prime factorization of 45372 in exponential form is:

45372 = 2² × 3¹ × 19¹ × 199¹

Step-3: Factors of 45361

List of positive integer factors of 45361 that divides 45361 without a remainder.

Step-4: Factors of 45372

List of positive integer factors of 45372 that divides 45361 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 199, 228, 398, 597, 796, 1194, 2388, 3781, 7562, 11343, 15124, 22686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45361 and 45372. The biggest common factor number is the GCF number.
So the greatest common factor 45361 and 45372 is 1.

Also check out the Least Common Multiple of 45361 and 45372