What is the Greatest Common Factor of 57825 and 57834?

Greatest common factor (GCF) of 57825 and 57834 is 9.

GCF(57825,57834) = 9

We will now calculate the prime factors of 57825 and 57834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57825 and 57834.

How to find the GCF of 57825 and 57834?

We will first find the prime factorization of 57825 and 57834. After we will calculate the factors of 57825 and 57834 and find the biggest common factor number .

Step-1: Prime Factorization of 57825

Prime factors of 57825 are 3, 5, 257. Prime factorization of 57825 in exponential form is:

57825 = 3² × 5² × 257¹

Step-2: Prime Factorization of 57834

Prime factors of 57834 are 2, 3, 7, 17. Prime factorization of 57834 in exponential form is:

57834 = 2¹ × 3⁵ × 7¹ × 17¹

Step-3: Factors of 57825

List of positive integer factors of 57825 that divides 57825 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 257, 771, 1285, 2313, 3855, 6425, 11565, 19275

Step-4: Factors of 57834

List of positive integer factors of 57834 that divides 57825 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 81, 102, 119, 126, 153, 162, 189, 238, 243, 306, 357, 378, 459, 486, 567, 714, 918, 1071, 1134, 1377, 1701, 2142, 2754, 3213, 3402, 4131, 6426, 8262, 9639, 19278, 28917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57825 and 57834. The biggest common factor number is the GCF number.
So the greatest common factor 57825 and 57834 is 9.

Also check out the Least Common Multiple of 57825 and 57834