What is the Greatest Common Factor of 74590 and 74606?

Greatest common factor (GCF) of 74590 and 74606 is 2.

GCF(74590,74606) = 2

We will now calculate the prime factors of 74590 and 74606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74590 and 74606.

How to find the GCF of 74590 and 74606?

We will first find the prime factorization of 74590 and 74606. After we will calculate the factors of 74590 and 74606 and find the biggest common factor number .

Step-1: Prime Factorization of 74590

Prime factors of 74590 are 2, 5, 7459. Prime factorization of 74590 in exponential form is:

74590 = 2¹ × 5¹ × 7459¹

Step-2: 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-3: Factors of 74590

List of positive integer factors of 74590 that divides 74590 without a remainder.

1, 2, 5, 10, 7459, 14918, 37295

Step-4: Factors of 74606

List of positive integer factors of 74606 that divides 74590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74590 and 74606. The biggest common factor number is the GCF number.
So the greatest common factor 74590 and 74606 is 2.

Also check out the Least Common Multiple of 74590 and 74606