What is the Greatest Common Factor of 57575 and 57582?

Greatest common factor (GCF) of 57575 and 57582 is 7.

GCF(57575,57582) = 7

We will now calculate the prime factors of 57575 and 57582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57575 and 57582.

How to find the GCF of 57575 and 57582?

We will first find the prime factorization of 57575 and 57582. After we will calculate the factors of 57575 and 57582 and find the biggest common factor number .

Step-1: Prime Factorization of 57575

Prime factors of 57575 are 5, 7, 47. Prime factorization of 57575 in exponential form is:

57575 = 5² × 7² × 47¹

Step-2: Prime Factorization of 57582

Prime factors of 57582 are 2, 3, 7, 457. Prime factorization of 57582 in exponential form is:

57582 = 2¹ × 3² × 7¹ × 457¹

Step-3: Factors of 57575

List of positive integer factors of 57575 that divides 57575 without a remainder.

1, 5, 7, 25, 35, 47, 49, 175, 235, 245, 329, 1175, 1225, 1645, 2303, 8225, 11515

Step-4: Factors of 57582

List of positive integer factors of 57582 that divides 57575 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 457, 914, 1371, 2742, 3199, 4113, 6398, 8226, 9597, 19194, 28791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57575 and 57582. The biggest common factor number is the GCF number.
So the greatest common factor 57575 and 57582 is 7.

Also check out the Least Common Multiple of 57575 and 57582