What is the Greatest Common Factor of 47565 and 47570?

Greatest common factor (GCF) of 47565 and 47570 is 5.

GCF(47565,47570) = 5

We will now calculate the prime factors of 47565 and 47570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47565 and 47570.

How to find the GCF of 47565 and 47570?

We will first find the prime factorization of 47565 and 47570. After we will calculate the factors of 47565 and 47570 and find the biggest common factor number .

Step-1: Prime Factorization of 47565

Prime factors of 47565 are 3, 5, 7, 151. Prime factorization of 47565 in exponential form is:

47565 = 3² × 5¹ × 7¹ × 151¹

Step-2: Prime Factorization of 47570

Prime factors of 47570 are 2, 5, 67, 71. Prime factorization of 47570 in exponential form is:

47570 = 2¹ × 5¹ × 67¹ × 71¹

Step-3: Factors of 47565

List of positive integer factors of 47565 that divides 47565 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 151, 315, 453, 755, 1057, 1359, 2265, 3171, 5285, 6795, 9513, 15855

Step-4: Factors of 47570

List of positive integer factors of 47570 that divides 47565 without a remainder.

1, 2, 5, 10, 67, 71, 134, 142, 335, 355, 670, 710, 4757, 9514, 23785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47565 and 47570. The biggest common factor number is the GCF number.
So the greatest common factor 47565 and 47570 is 5.

Also check out the Least Common Multiple of 47565 and 47570