What is the Greatest Common Factor of 45279 and 45297?

Greatest common factor (GCF) of 45279 and 45297 is 9.

GCF(45279,45297) = 9

We will now calculate the prime factors of 45279 and 45297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45279 and 45297.

How to find the GCF of 45279 and 45297?

We will first find the prime factorization of 45279 and 45297. After we will calculate the factors of 45279 and 45297 and find the biggest common factor number .

Step-1: Prime Factorization of 45279

Prime factors of 45279 are 3, 13, 43. Prime factorization of 45279 in exponential form is:

45279 = 3⁴ × 13¹ × 43¹

Step-2: Prime Factorization of 45297

Prime factors of 45297 are 3, 7, 719. Prime factorization of 45297 in exponential form is:

45297 = 3² × 7¹ × 719¹

Step-3: Factors of 45279

List of positive integer factors of 45279 that divides 45279 without a remainder.

1, 3, 9, 13, 27, 39, 43, 81, 117, 129, 351, 387, 559, 1053, 1161, 1677, 3483, 5031, 15093

Step-4: Factors of 45297

List of positive integer factors of 45297 that divides 45279 without a remainder.

1, 3, 7, 9, 21, 63, 719, 2157, 5033, 6471, 15099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45279 and 45297. The biggest common factor number is the GCF number.
So the greatest common factor 45279 and 45297 is 9.

Also check out the Least Common Multiple of 45279 and 45297