What is the Greatest Common Factor of 57450 and 57465?

Greatest common factor (GCF) of 57450 and 57465 is 15.

GCF(57450,57465) = 15

We will now calculate the prime factors of 57450 and 57465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57450 and 57465.

How to find the GCF of 57450 and 57465?

We will first find the prime factorization of 57450 and 57465. After we will calculate the factors of 57450 and 57465 and find the biggest common factor number .

Step-1: Prime Factorization of 57450

Prime factors of 57450 are 2, 3, 5, 383. Prime factorization of 57450 in exponential form is:

57450 = 2¹ × 3¹ × 5² × 383¹

Step-2: Prime Factorization of 57465

Prime factors of 57465 are 3, 5, 1277. Prime factorization of 57465 in exponential form is:

57465 = 3² × 5¹ × 1277¹

Step-3: Factors of 57450

List of positive integer factors of 57450 that divides 57450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 383, 766, 1149, 1915, 2298, 3830, 5745, 9575, 11490, 19150, 28725

Step-4: Factors of 57465

List of positive integer factors of 57465 that divides 57450 without a remainder.

1, 3, 5, 9, 15, 45, 1277, 3831, 6385, 11493, 19155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57450 and 57465. The biggest common factor number is the GCF number.
So the greatest common factor 57450 and 57465 is 15.

Also check out the Least Common Multiple of 57450 and 57465