What is the Greatest Common Factor of 57510 and 57528?

Greatest common factor (GCF) of 57510 and 57528 is 18.

GCF(57510,57528) = 18

We will now calculate the prime factors of 57510 and 57528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57510 and 57528.

How to find the GCF of 57510 and 57528?

We will first find the prime factorization of 57510 and 57528. After we will calculate the factors of 57510 and 57528 and find the biggest common factor number .

Step-1: Prime Factorization of 57510

Prime factors of 57510 are 2, 3, 5, 71. Prime factorization of 57510 in exponential form is:

57510 = 2¹ × 3⁴ × 5¹ × 71¹

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 57510

List of positive integer factors of 57510 that divides 57510 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 71, 81, 90, 135, 142, 162, 213, 270, 355, 405, 426, 639, 710, 810, 1065, 1278, 1917, 2130, 3195, 3834, 5751, 6390, 9585, 11502, 19170, 28755

Step-4: Factors of 57528

List of positive integer factors of 57528 that divides 57510 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 57510 and 57528. The biggest common factor number is the GCF number.
So the greatest common factor 57510 and 57528 is 18.

Also check out the Least Common Multiple of 57510 and 57528