What is the Greatest Common Factor of 74010 and 74020?

Greatest common factor (GCF) of 74010 and 74020 is 10.

GCF(74010,74020) = 10

We will now calculate the prime factors of 74010 and 74020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74010 and 74020.

How to find the GCF of 74010 and 74020?

We will first find the prime factorization of 74010 and 74020. After we will calculate the factors of 74010 and 74020 and find the biggest common factor number .

Step-1: Prime Factorization of 74010

Prime factors of 74010 are 2, 3, 5, 2467. Prime factorization of 74010 in exponential form is:

74010 = 2¹ × 3¹ × 5¹ × 2467¹

Step-2: Prime Factorization of 74020

Prime factors of 74020 are 2, 5, 3701. Prime factorization of 74020 in exponential form is:

74020 = 2² × 5¹ × 3701¹

Step-3: Factors of 74010

List of positive integer factors of 74010 that divides 74010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2467, 4934, 7401, 12335, 14802, 24670, 37005

Step-4: Factors of 74020

List of positive integer factors of 74020 that divides 74010 without a remainder.

1, 2, 4, 5, 10, 20, 3701, 7402, 14804, 18505, 37010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74010 and 74020. The biggest common factor number is the GCF number.
So the greatest common factor 74010 and 74020 is 10.

Also check out the Least Common Multiple of 74010 and 74020