What is the Greatest Common Factor of 59445 and 59457?

Greatest common factor (GCF) of 59445 and 59457 is 3.

GCF(59445,59457) = 3

We will now calculate the prime factors of 59445 and 59457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59445 and 59457.

How to find the GCF of 59445 and 59457?

We will first find the prime factorization of 59445 and 59457. After we will calculate the factors of 59445 and 59457 and find the biggest common factor number .

Step-1: Prime Factorization of 59445

Prime factors of 59445 are 3, 5, 1321. Prime factorization of 59445 in exponential form is:

59445 = 3² × 5¹ × 1321¹

Step-2: Prime Factorization of 59457

Prime factors of 59457 are 3, 19819. Prime factorization of 59457 in exponential form is:

59457 = 3¹ × 19819¹

Step-3: Factors of 59445

List of positive integer factors of 59445 that divides 59445 without a remainder.

1, 3, 5, 9, 15, 45, 1321, 3963, 6605, 11889, 19815

Step-4: Factors of 59457

List of positive integer factors of 59457 that divides 59445 without a remainder.

1, 3, 19819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59445 and 59457. The biggest common factor number is the GCF number.
So the greatest common factor 59445 and 59457 is 3.

Also check out the Least Common Multiple of 59445 and 59457