What is the Greatest Common Factor of 39564 and 39570?

Greatest common factor (GCF) of 39564 and 39570 is 6.

GCF(39564,39570) = 6

We will now calculate the prime factors of 39564 and 39570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39564 and 39570.

How to find the GCF of 39564 and 39570?

We will first find the prime factorization of 39564 and 39570. After we will calculate the factors of 39564 and 39570 and find the biggest common factor number .

Step-1: Prime Factorization of 39564

Prime factors of 39564 are 2, 3, 7, 157. Prime factorization of 39564 in exponential form is:

39564 = 2² × 3² × 7¹ × 157¹

Step-2: Prime Factorization of 39570

Prime factors of 39570 are 2, 3, 5, 1319. Prime factorization of 39570 in exponential form is:

39570 = 2¹ × 3¹ × 5¹ × 1319¹

Step-3: Factors of 39564

List of positive integer factors of 39564 that divides 39564 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 157, 252, 314, 471, 628, 942, 1099, 1413, 1884, 2198, 2826, 3297, 4396, 5652, 6594, 9891, 13188, 19782

Step-4: Factors of 39570

List of positive integer factors of 39570 that divides 39564 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1319, 2638, 3957, 6595, 7914, 13190, 19785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39564 and 39570. The biggest common factor number is the GCF number.
So the greatest common factor 39564 and 39570 is 6.

Also check out the Least Common Multiple of 39564 and 39570