What is the Greatest Common Factor of 74026 and 74036?

Greatest common factor (GCF) of 74026 and 74036 is 2.

GCF(74026,74036) = 2

We will now calculate the prime factors of 74026 and 74036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74026 and 74036.

How to find the GCF of 74026 and 74036?

We will first find the prime factorization of 74026 and 74036. After we will calculate the factors of 74026 and 74036 and find the biggest common factor number .

Step-1: Prime Factorization of 74026

Prime factors of 74026 are 2, 37013. Prime factorization of 74026 in exponential form is:

74026 = 2¹ × 37013¹

Step-2: Prime Factorization of 74036

Prime factors of 74036 are 2, 83, 223. Prime factorization of 74036 in exponential form is:

74036 = 2² × 83¹ × 223¹

Step-3: Factors of 74026

List of positive integer factors of 74026 that divides 74026 without a remainder.

1, 2, 37013

Step-4: Factors of 74036

List of positive integer factors of 74036 that divides 74026 without a remainder.

1, 2, 4, 83, 166, 223, 332, 446, 892, 18509, 37018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74026 and 74036. The biggest common factor number is the GCF number.
So the greatest common factor 74026 and 74036 is 2.

Also check out the Least Common Multiple of 74026 and 74036