What is the Greatest Common Factor of 39058 and 39067?

Greatest common factor (GCF) of 39058 and 39067 is 1.

GCF(39058,39067) = 1

We will now calculate the prime factors of 39058 and 39067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39058 and 39067.

How to find the GCF of 39058 and 39067?

We will first find the prime factorization of 39058 and 39067. After we will calculate the factors of 39058 and 39067 and find the biggest common factor number .

Step-1: Prime Factorization of 39058

Prime factors of 39058 are 2, 59, 331. Prime factorization of 39058 in exponential form is:

39058 = 2¹ × 59¹ × 331¹

Step-2: Prime Factorization of 39067

Prime factors of 39067 are 7, 5581. Prime factorization of 39067 in exponential form is:

39067 = 7¹ × 5581¹

Step-3: Factors of 39058

List of positive integer factors of 39058 that divides 39058 without a remainder.

1, 2, 59, 118, 331, 662, 19529

Step-4: Factors of 39067

List of positive integer factors of 39067 that divides 39058 without a remainder.

1, 7, 5581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39058 and 39067. The biggest common factor number is the GCF number.
So the greatest common factor 39058 and 39067 is 1.

Also check out the Least Common Multiple of 39058 and 39067