What is the Greatest Common Factor of 74058 and 74070?

Greatest common factor (GCF) of 74058 and 74070 is 6.

GCF(74058,74070) = 6

We will now calculate the prime factors of 74058 and 74070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74058 and 74070.

How to find the GCF of 74058 and 74070?

We will first find the prime factorization of 74058 and 74070. After we will calculate the factors of 74058 and 74070 and find the biggest common factor number .

Step-1: Prime Factorization of 74058

Prime factors of 74058 are 2, 3, 12343. Prime factorization of 74058 in exponential form is:

74058 = 2¹ × 3¹ × 12343¹

Step-2: Prime Factorization of 74070

Prime factors of 74070 are 2, 3, 5, 823. Prime factorization of 74070 in exponential form is:

74070 = 2¹ × 3² × 5¹ × 823¹

Step-3: Factors of 74058

List of positive integer factors of 74058 that divides 74058 without a remainder.

1, 2, 3, 6, 12343, 24686, 37029

Step-4: Factors of 74070

List of positive integer factors of 74070 that divides 74058 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 823, 1646, 2469, 4115, 4938, 7407, 8230, 12345, 14814, 24690, 37035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74058 and 74070. The biggest common factor number is the GCF number.
So the greatest common factor 74058 and 74070 is 6.

Also check out the Least Common Multiple of 74058 and 74070