What is the Greatest Common Factor of 67058 and 67067?

Greatest common factor (GCF) of 67058 and 67067 is 1.

GCF(67058,67067) = 1

We will now calculate the prime factors of 67058 and 67067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67058 and 67067.

How to find the GCF of 67058 and 67067?

We will first find the prime factorization of 67058 and 67067. After we will calculate the factors of 67058 and 67067 and find the biggest common factor number .

Step-1: Prime Factorization of 67058

Prime factors of 67058 are 2, 33529. Prime factorization of 67058 in exponential form is:

67058 = 2¹ × 33529¹

Step-2: Prime Factorization of 67067

Prime factors of 67067 are 7, 11, 13, 67. Prime factorization of 67067 in exponential form is:

67067 = 7¹ × 11¹ × 13¹ × 67¹

Step-3: Factors of 67058

List of positive integer factors of 67058 that divides 67058 without a remainder.

1, 2, 33529

Step-4: Factors of 67067

List of positive integer factors of 67067 that divides 67058 without a remainder.

1, 7, 11, 13, 67, 77, 91, 143, 469, 737, 871, 1001, 5159, 6097, 9581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67058 and 67067. The biggest common factor number is the GCF number.
So the greatest common factor 67058 and 67067 is 1.

Also check out the Least Common Multiple of 67058 and 67067