What is the Greatest Common Factor of 57509 and 57528?

Greatest common factor (GCF) of 57509 and 57528 is 1.

GCF(57509,57528) = 1

We will now calculate the prime factors of 57509 and 57528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57509 and 57528.

How to find the GCF of 57509 and 57528?

We will first find the prime factorization of 57509 and 57528. After we will calculate the factors of 57509 and 57528 and find the biggest common factor number .

Step-1: Prime Factorization of 57509

Prime factors of 57509 are 131, 439. Prime factorization of 57509 in exponential form is:

57509 = 131¹ × 439¹

Step-2: Prime Factorization of 57528

Prime factors of 57528 are 2, 3, 17, 47. Prime factorization of 57528 in exponential form is:

57528 = 2³ × 3² × 17¹ × 47¹

Step-3: Factors of 57509

List of positive integer factors of 57509 that divides 57509 without a remainder.

1, 131, 439

Step-4: Factors of 57528

List of positive integer factors of 57528 that divides 57509 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 47, 51, 68, 72, 94, 102, 136, 141, 153, 188, 204, 282, 306, 376, 408, 423, 564, 612, 799, 846, 1128, 1224, 1598, 1692, 2397, 3196, 3384, 4794, 6392, 7191, 9588, 14382, 19176, 28764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57509 and 57528. The biggest common factor number is the GCF number.
So the greatest common factor 57509 and 57528 is 1.

Also check out the Least Common Multiple of 57509 and 57528