What is the Greatest Common Factor of 67040 and 67057?

Greatest common factor (GCF) of 67040 and 67057 is 1.

GCF(67040,67057) = 1

We will now calculate the prime factors of 67040 and 67057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67040 and 67057.

How to find the GCF of 67040 and 67057?

We will first find the prime factorization of 67040 and 67057. After we will calculate the factors of 67040 and 67057 and find the biggest common factor number .

Step-1: Prime Factorization of 67040

Prime factors of 67040 are 2, 5, 419. Prime factorization of 67040 in exponential form is:

67040 = 2⁵ × 5¹ × 419¹

Step-2: Prime Factorization of 67057

Prime factors of 67057 are 67057. Prime factorization of 67057 in exponential form is:

67057 = 67057¹

Step-3: Factors of 67040

List of positive integer factors of 67040 that divides 67040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 13408, 16760, 33520

Step-4: Factors of 67057

List of positive integer factors of 67057 that divides 67040 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67040 and 67057. The biggest common factor number is the GCF number.
So the greatest common factor 67040 and 67057 is 1.

Also check out the Least Common Multiple of 67040 and 67057