What is the Greatest Common Factor of 67014 and 67025?

Greatest common factor (GCF) of 67014 and 67025 is 1.

GCF(67014,67025) = 1

We will now calculate the prime factors of 67014 and 67025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67014 and 67025.

How to find the GCF of 67014 and 67025?

We will first find the prime factorization of 67014 and 67025. After we will calculate the factors of 67014 and 67025 and find the biggest common factor number .

Step-1: Prime Factorization of 67014

Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:

67014 = 2¹ × 3³ × 17¹ × 73¹

Step-2: 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-3: Factors of 67014

List of positive integer factors of 67014 that divides 67014 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507

Step-4: Factors of 67025

List of positive integer factors of 67025 that divides 67014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67014 and 67025. The biggest common factor number is the GCF number.
So the greatest common factor 67014 and 67025 is 1.

Also check out the Least Common Multiple of 67014 and 67025