What is the Greatest Common Factor of 45333 and 45337?

Greatest common factor (GCF) of 45333 and 45337 is 1.

GCF(45333,45337) = 1

We will now calculate the prime factors of 45333 and 45337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45333 and 45337.

How to find the GCF of 45333 and 45337?

We will first find the prime factorization of 45333 and 45337. After we will calculate the factors of 45333 and 45337 and find the biggest common factor number .

Step-1: Prime Factorization of 45333

Prime factors of 45333 are 3, 23, 73. Prime factorization of 45333 in exponential form is:

45333 = 3³ × 23¹ × 73¹

Step-2: Prime Factorization of 45337

Prime factors of 45337 are 45337. Prime factorization of 45337 in exponential form is:

45337 = 45337¹

Step-3: Factors of 45333

List of positive integer factors of 45333 that divides 45333 without a remainder.

1, 3, 9, 23, 27, 69, 73, 207, 219, 621, 657, 1679, 1971, 5037, 15111

Step-4: Factors of 45337

List of positive integer factors of 45337 that divides 45333 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45333 and 45337. The biggest common factor number is the GCF number.
So the greatest common factor 45333 and 45337 is 1.

Also check out the Least Common Multiple of 45333 and 45337