What is the Greatest Common Factor of 57052 and 57069?

Greatest common factor (GCF) of 57052 and 57069 is 17.

GCF(57052,57069) = 17

We will now calculate the prime factors of 57052 and 57069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57052 and 57069.

How to find the GCF of 57052 and 57069?

We will first find the prime factorization of 57052 and 57069. After we will calculate the factors of 57052 and 57069 and find the biggest common factor number .

Step-1: Prime Factorization of 57052

Prime factors of 57052 are 2, 17, 839. Prime factorization of 57052 in exponential form is:

57052 = 2² × 17¹ × 839¹

Step-2: 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-3: Factors of 57052

List of positive integer factors of 57052 that divides 57052 without a remainder.

1, 2, 4, 17, 34, 68, 839, 1678, 3356, 14263, 28526

Step-4: Factors of 57069

List of positive integer factors of 57069 that divides 57052 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57052 and 57069. The biggest common factor number is the GCF number.
So the greatest common factor 57052 and 57069 is 17.

Also check out the Least Common Multiple of 57052 and 57069