What is the Greatest Common Factor of 67040 and 67049?

Greatest common factor (GCF) of 67040 and 67049 is 1.

GCF(67040,67049) = 1

We will now calculate the prime factors of 67040 and 67049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67040 and 67049.

How to find the GCF of 67040 and 67049?

We will first find the prime factorization of 67040 and 67049. After we will calculate the factors of 67040 and 67049 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 67049

Prime factors of 67049 are 67049. Prime factorization of 67049 in exponential form is:

67049 = 67049¹

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 67049

List of positive integer factors of 67049 that divides 67040 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67040 and 67049. The biggest common factor number is the GCF number.
So the greatest common factor 67040 and 67049 is 1.

Also check out the Least Common Multiple of 67040 and 67049