What is the Greatest Common Factor of 74049 and 74066?

Greatest common factor (GCF) of 74049 and 74066 is 1.

GCF(74049,74066) = 1

We will now calculate the prime factors of 74049 and 74066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74049 and 74066.

How to find the GCF of 74049 and 74066?

We will first find the prime factorization of 74049 and 74066. After we will calculate the factors of 74049 and 74066 and find the biggest common factor number .

Step-1: Prime Factorization of 74049

Prime factors of 74049 are 3, 24683. Prime factorization of 74049 in exponential form is:

74049 = 3¹ × 24683¹

Step-2: 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-3: Factors of 74049

List of positive integer factors of 74049 that divides 74049 without a remainder.

1, 3, 24683

Step-4: Factors of 74066

List of positive integer factors of 74066 that divides 74049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74049 and 74066. The biggest common factor number is the GCF number.
So the greatest common factor 74049 and 74066 is 1.

Also check out the Least Common Multiple of 74049 and 74066