What is the Greatest Common Factor of 93550 and 93570?

Greatest common factor (GCF) of 93550 and 93570 is 10.

GCF(93550,93570) = 10

We will now calculate the prime factors of 93550 and 93570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93550 and 93570.

How to find the GCF of 93550 and 93570?

We will first find the prime factorization of 93550 and 93570. After we will calculate the factors of 93550 and 93570 and find the biggest common factor number .

Step-1: Prime Factorization of 93550

Prime factors of 93550 are 2, 5, 1871. Prime factorization of 93550 in exponential form is:

93550 = 2¹ × 5² × 1871¹

Step-2: Prime Factorization of 93570

Prime factors of 93570 are 2, 3, 5, 3119. Prime factorization of 93570 in exponential form is:

93570 = 2¹ × 3¹ × 5¹ × 3119¹

Step-3: Factors of 93550

List of positive integer factors of 93550 that divides 93550 without a remainder.

1, 2, 5, 10, 25, 50, 1871, 3742, 9355, 18710, 46775

Step-4: Factors of 93570

List of positive integer factors of 93570 that divides 93550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3119, 6238, 9357, 15595, 18714, 31190, 46785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93550 and 93570. The biggest common factor number is the GCF number.
So the greatest common factor 93550 and 93570 is 10.

Also check out the Least Common Multiple of 93550 and 93570