What is the Greatest Common Factor of 67025 and 67040?

Greatest common factor (GCF) of 67025 and 67040 is 5.

GCF(67025,67040) = 5

We will now calculate the prime factors of 67025 and 67040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67025 and 67040.

How to find the GCF of 67025 and 67040?

We will first find the prime factorization of 67025 and 67040. After we will calculate the factors of 67025 and 67040 and find the biggest common factor number .

Step-1: Prime Factorization of 67025

Prime factors of 67025 are 5, 7, 383. Prime factorization of 67025 in exponential form is:

67025 = 5² × 7¹ × 383¹

Step-2: 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-3: Factors of 67025

List of positive integer factors of 67025 that divides 67025 without a remainder.

1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405

Step-4: Factors of 67040

List of positive integer factors of 67040 that divides 67025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67025 and 67040. The biggest common factor number is the GCF number.
So the greatest common factor 67025 and 67040 is 5.

Also check out the Least Common Multiple of 67025 and 67040