What is the Greatest Common Factor of 66570 and 66584?

Greatest common factor (GCF) of 66570 and 66584 is 14.

GCF(66570,66584) = 14

We will now calculate the prime factors of 66570 and 66584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66570 and 66584.

How to find the GCF of 66570 and 66584?

We will first find the prime factorization of 66570 and 66584. After we will calculate the factors of 66570 and 66584 and find the biggest common factor number .

Step-1: Prime Factorization of 66570

Prime factors of 66570 are 2, 3, 5, 7, 317. Prime factorization of 66570 in exponential form is:

66570 = 2¹ × 3¹ × 5¹ × 7¹ × 317¹

Step-2: Prime Factorization of 66584

Prime factors of 66584 are 2, 7, 29, 41. Prime factorization of 66584 in exponential form is:

66584 = 2³ × 7¹ × 29¹ × 41¹

Step-3: Factors of 66570

List of positive integer factors of 66570 that divides 66570 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 317, 634, 951, 1585, 1902, 2219, 3170, 4438, 4755, 6657, 9510, 11095, 13314, 22190, 33285

Step-4: Factors of 66584

List of positive integer factors of 66584 that divides 66570 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 41, 56, 58, 82, 116, 164, 203, 232, 287, 328, 406, 574, 812, 1148, 1189, 1624, 2296, 2378, 4756, 8323, 9512, 16646, 33292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66570 and 66584. The biggest common factor number is the GCF number.
So the greatest common factor 66570 and 66584 is 14.

Also check out the Least Common Multiple of 66570 and 66584