What is the Greatest Common Factor of 73670 and 73685?

Greatest common factor (GCF) of 73670 and 73685 is 5.

GCF(73670,73685) = 5

We will now calculate the prime factors of 73670 and 73685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73670 and 73685.

How to find the GCF of 73670 and 73685?

We will first find the prime factorization of 73670 and 73685. After we will calculate the factors of 73670 and 73685 and find the biggest common factor number .

Step-1: Prime Factorization of 73670

Prime factors of 73670 are 2, 5, 53, 139. Prime factorization of 73670 in exponential form is:

73670 = 2¹ × 5¹ × 53¹ × 139¹

Step-2: Prime Factorization of 73685

Prime factors of 73685 are 5, 14737. Prime factorization of 73685 in exponential form is:

73685 = 5¹ × 14737¹

Step-3: Factors of 73670

List of positive integer factors of 73670 that divides 73670 without a remainder.

1, 2, 5, 10, 53, 106, 139, 265, 278, 530, 695, 1390, 7367, 14734, 36835

Step-4: Factors of 73685

List of positive integer factors of 73685 that divides 73670 without a remainder.

1, 5, 14737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73670 and 73685. The biggest common factor number is the GCF number.
So the greatest common factor 73670 and 73685 is 5.

Also check out the Least Common Multiple of 73670 and 73685