What is the Greatest Common Factor of 57630 and 57645?

Greatest common factor (GCF) of 57630 and 57645 is 15.

GCF(57630,57645) = 15

We will now calculate the prime factors of 57630 and 57645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57630 and 57645.

How to find the GCF of 57630 and 57645?

We will first find the prime factorization of 57630 and 57645. After we will calculate the factors of 57630 and 57645 and find the biggest common factor number .

Step-1: Prime Factorization of 57630

Prime factors of 57630 are 2, 3, 5, 17, 113. Prime factorization of 57630 in exponential form is:

57630 = 2¹ × 3¹ × 5¹ × 17¹ × 113¹

Step-2: Prime Factorization of 57645

Prime factors of 57645 are 3, 5, 7, 61. Prime factorization of 57645 in exponential form is:

57645 = 3³ × 5¹ × 7¹ × 61¹

Step-3: Factors of 57630

List of positive integer factors of 57630 that divides 57630 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 113, 170, 226, 255, 339, 510, 565, 678, 1130, 1695, 1921, 3390, 3842, 5763, 9605, 11526, 19210, 28815

Step-4: Factors of 57645

List of positive integer factors of 57645 that divides 57630 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 61, 63, 105, 135, 183, 189, 305, 315, 427, 549, 915, 945, 1281, 1647, 2135, 2745, 3843, 6405, 8235, 11529, 19215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57630 and 57645. The biggest common factor number is the GCF number.
So the greatest common factor 57630 and 57645 is 15.

Also check out the Least Common Multiple of 57630 and 57645