What is the Greatest Common Factor of 29550 and 29570?

Greatest common factor (GCF) of 29550 and 29570 is 10.

GCF(29550,29570) = 10

We will now calculate the prime factors of 29550 and 29570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29550 and 29570.

How to find the GCF of 29550 and 29570?

We will first find the prime factorization of 29550 and 29570. After we will calculate the factors of 29550 and 29570 and find the biggest common factor number .

Step-1: Prime Factorization of 29550

Prime factors of 29550 are 2, 3, 5, 197. Prime factorization of 29550 in exponential form is:

29550 = 2¹ × 3¹ × 5² × 197¹

Step-2: Prime Factorization of 29570

Prime factors of 29570 are 2, 5, 2957. Prime factorization of 29570 in exponential form is:

29570 = 2¹ × 5¹ × 2957¹

Step-3: Factors of 29550

List of positive integer factors of 29550 that divides 29550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 197, 394, 591, 985, 1182, 1970, 2955, 4925, 5910, 9850, 14775

Step-4: Factors of 29570

List of positive integer factors of 29570 that divides 29550 without a remainder.

1, 2, 5, 10, 2957, 5914, 14785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29550 and 29570. The biggest common factor number is the GCF number.
So the greatest common factor 29550 and 29570 is 10.

Also check out the Least Common Multiple of 29550 and 29570