What is the Greatest Common Factor of 67023 and 67039?

Greatest common factor (GCF) of 67023 and 67039 is 1.

GCF(67023,67039) = 1

We will now calculate the prime factors of 67023 and 67039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67023 and 67039.

How to find the GCF of 67023 and 67039?

We will first find the prime factorization of 67023 and 67039. After we will calculate the factors of 67023 and 67039 and find the biggest common factor number .

Step-1: Prime Factorization of 67023

Prime factors of 67023 are 3, 11, 677. Prime factorization of 67023 in exponential form is:

67023 = 3² × 11¹ × 677¹

Step-2: Prime Factorization of 67039

Prime factors of 67039 are 7, 61, 157. Prime factorization of 67039 in exponential form is:

67039 = 7¹ × 61¹ × 157¹

Step-3: Factors of 67023

List of positive integer factors of 67023 that divides 67023 without a remainder.

1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341

Step-4: Factors of 67039

List of positive integer factors of 67039 that divides 67023 without a remainder.

1, 7, 61, 157, 427, 1099, 9577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67023 and 67039. The biggest common factor number is the GCF number.
So the greatest common factor 67023 and 67039 is 1.

Also check out the Least Common Multiple of 67023 and 67039