What is the Greatest Common Factor of 74066 and 74075?

Greatest common factor (GCF) of 74066 and 74075 is 1.

GCF(74066,74075) = 1

We will now calculate the prime factors of 74066 and 74075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74066 and 74075.

How to find the GCF of 74066 and 74075?

We will first find the prime factorization of 74066 and 74075. After we will calculate the factors of 74066 and 74075 and find the biggest common factor number .

Step-1: Prime Factorization of 74066

Prime factors of 74066 are 2, 29, 1277. Prime factorization of 74066 in exponential form is:

74066 = 2¹ × 29¹ × 1277¹

Step-2: Prime Factorization of 74075

Prime factors of 74075 are 5, 2963. Prime factorization of 74075 in exponential form is:

74075 = 5² × 2963¹

Step-3: Factors of 74066

List of positive integer factors of 74066 that divides 74066 without a remainder.

1, 2, 29, 58, 1277, 2554, 37033

Step-4: Factors of 74075

List of positive integer factors of 74075 that divides 74066 without a remainder.

1, 5, 25, 2963, 14815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74066 and 74075. The biggest common factor number is the GCF number.
So the greatest common factor 74066 and 74075 is 1.

Also check out the Least Common Multiple of 74066 and 74075