What is the Greatest Common Factor of 67040 and 67045?

Greatest common factor (GCF) of 67040 and 67045 is 5.

GCF(67040,67045) = 5

We will now calculate the prime factors of 67040 and 67045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67040 and 67045.

How to find the GCF of 67040 and 67045?

We will first find the prime factorization of 67040 and 67045. After we will calculate the factors of 67040 and 67045 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 67045

Prime factors of 67045 are 5, 11, 23, 53. Prime factorization of 67045 in exponential form is:

67045 = 5¹ × 11¹ × 23¹ × 53¹

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 67045

List of positive integer factors of 67045 that divides 67040 without a remainder.

1, 5, 11, 23, 53, 55, 115, 253, 265, 583, 1219, 1265, 2915, 6095, 13409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67040 and 67045. The biggest common factor number is the GCF number.
So the greatest common factor 67040 and 67045 is 5.

Also check out the Least Common Multiple of 67040 and 67045