What is the Greatest Common Factor of 57069 and 57075?

Greatest common factor (GCF) of 57069 and 57075 is 3.

GCF(57069,57075) = 3

We will now calculate the prime factors of 57069 and 57075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57069 and 57075.

How to find the GCF of 57069 and 57075?

We will first find the prime factorization of 57069 and 57075. After we will calculate the factors of 57069 and 57075 and find the biggest common factor number .

Step-1: Prime Factorization of 57069

Prime factors of 57069 are 3, 17, 373. Prime factorization of 57069 in exponential form is:

57069 = 3² × 17¹ × 373¹

Step-2: Prime Factorization of 57075

Prime factors of 57075 are 3, 5, 761. Prime factorization of 57075 in exponential form is:

57075 = 3¹ × 5² × 761¹

Step-3: Factors of 57069

List of positive integer factors of 57069 that divides 57069 without a remainder.

1, 3, 9, 17, 51, 153, 373, 1119, 3357, 6341, 19023

Step-4: Factors of 57075

List of positive integer factors of 57075 that divides 57069 without a remainder.

1, 3, 5, 15, 25, 75, 761, 2283, 3805, 11415, 19025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57069 and 57075. The biggest common factor number is the GCF number.
So the greatest common factor 57069 and 57075 is 3.

Also check out the Least Common Multiple of 57069 and 57075