What is the Greatest Common Factor of 47550 and 47570?

Greatest common factor (GCF) of 47550 and 47570 is 10.

GCF(47550,47570) = 10

We will now calculate the prime factors of 47550 and 47570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47550 and 47570.

How to find the GCF of 47550 and 47570?

We will first find the prime factorization of 47550 and 47570. After we will calculate the factors of 47550 and 47570 and find the biggest common factor number .

Step-1: Prime Factorization of 47550

Prime factors of 47550 are 2, 3, 5, 317. Prime factorization of 47550 in exponential form is:

47550 = 2¹ × 3¹ × 5² × 317¹

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 47550

List of positive integer factors of 47550 that divides 47550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 317, 634, 951, 1585, 1902, 3170, 4755, 7925, 9510, 15850, 23775

Step-4: Factors of 47570

List of positive integer factors of 47570 that divides 47550 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 47550 and 47570. The biggest common factor number is the GCF number.
So the greatest common factor 47550 and 47570 is 10.

Also check out the Least Common Multiple of 47550 and 47570