What is the Greatest Common Factor of 74049 and 74067?

Greatest common factor (GCF) of 74049 and 74067 is 3.

GCF(74049,74067) = 3

We will now calculate the prime factors of 74049 and 74067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74049 and 74067.

How to find the GCF of 74049 and 74067?

We will first find the prime factorization of 74049 and 74067. After we will calculate the factors of 74049 and 74067 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 74067

Prime factors of 74067 are 3, 7, 3527. Prime factorization of 74067 in exponential form is:

74067 = 3¹ × 7¹ × 3527¹

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 74067

List of positive integer factors of 74067 that divides 74049 without a remainder.

1, 3, 7, 21, 3527, 10581, 24689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74049 and 74067. The biggest common factor number is the GCF number.
So the greatest common factor 74049 and 74067 is 3.

Also check out the Least Common Multiple of 74049 and 74067