What is the Greatest Common Factor of 67905 and 67915?

Greatest common factor (GCF) of 67905 and 67915 is 5.

GCF(67905,67915) = 5

We will now calculate the prime factors of 67905 and 67915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67905 and 67915.

How to find the GCF of 67905 and 67915?

We will first find the prime factorization of 67905 and 67915. After we will calculate the factors of 67905 and 67915 and find the biggest common factor number .

Step-1: Prime Factorization of 67905

Prime factors of 67905 are 3, 5, 503. Prime factorization of 67905 in exponential form is:

67905 = 3³ × 5¹ × 503¹

Step-2: Prime Factorization of 67915

Prime factors of 67915 are 5, 17, 47. Prime factorization of 67915 in exponential form is:

67915 = 5¹ × 17² × 47¹

Step-3: Factors of 67905

List of positive integer factors of 67905 that divides 67905 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 503, 1509, 2515, 4527, 7545, 13581, 22635

Step-4: Factors of 67915

List of positive integer factors of 67915 that divides 67905 without a remainder.

1, 5, 17, 47, 85, 235, 289, 799, 1445, 3995, 13583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67905 and 67915. The biggest common factor number is the GCF number.
So the greatest common factor 67905 and 67915 is 5.

Also check out the Least Common Multiple of 67905 and 67915