What is the Greatest Common Factor of 74606 and 74623?

Greatest common factor (GCF) of 74606 and 74623 is 1.

GCF(74606,74623) = 1

We will now calculate the prime factors of 74606 and 74623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74606 and 74623.

How to find the GCF of 74606 and 74623?

We will first find the prime factorization of 74606 and 74623. After we will calculate the factors of 74606 and 74623 and find the biggest common factor number .

Step-1: Prime Factorization of 74606

Prime factors of 74606 are 2, 7, 73. Prime factorization of 74606 in exponential form is:

74606 = 2¹ × 7¹ × 73²

Step-2: Prime Factorization of 74623

Prime factors of 74623 are 74623. Prime factorization of 74623 in exponential form is:

74623 = 74623¹

Step-3: Factors of 74606

List of positive integer factors of 74606 that divides 74606 without a remainder.

1, 2, 7, 14, 73, 146, 511, 1022, 5329, 10658, 37303

Step-4: Factors of 74623

List of positive integer factors of 74623 that divides 74606 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74606 and 74623. The biggest common factor number is the GCF number.
So the greatest common factor 74606 and 74623 is 1.

Also check out the Least Common Multiple of 74606 and 74623