What is the Greatest Common Factor of 74024 and 74039?

Greatest common factor (GCF) of 74024 and 74039 is 1.

GCF(74024,74039) = 1

We will now calculate the prime factors of 74024 and 74039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74024 and 74039.

How to find the GCF of 74024 and 74039?

We will first find the prime factorization of 74024 and 74039. After we will calculate the factors of 74024 and 74039 and find the biggest common factor number .

Step-1: Prime Factorization of 74024

Prime factors of 74024 are 2, 19, 487. Prime factorization of 74024 in exponential form is:

74024 = 2³ × 19¹ × 487¹

Step-2: Prime Factorization of 74039

Prime factors of 74039 are 7, 1511. Prime factorization of 74039 in exponential form is:

74039 = 7² × 1511¹

Step-3: Factors of 74024

List of positive integer factors of 74024 that divides 74024 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 487, 974, 1948, 3896, 9253, 18506, 37012

Step-4: Factors of 74039

List of positive integer factors of 74039 that divides 74024 without a remainder.

1, 7, 49, 1511, 10577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74024 and 74039. The biggest common factor number is the GCF number.
So the greatest common factor 74024 and 74039 is 1.

Also check out the Least Common Multiple of 74024 and 74039