What is the Greatest Common Factor of 51405 and 51415?

Greatest common factor (GCF) of 51405 and 51415 is 5.

GCF(51405,51415) = 5

We will now calculate the prime factors of 51405 and 51415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51405 and 51415.

How to find the GCF of 51405 and 51415?

We will first find the prime factorization of 51405 and 51415. After we will calculate the factors of 51405 and 51415 and find the biggest common factor number .

Step-1: Prime Factorization of 51405

Prime factors of 51405 are 3, 5, 23, 149. Prime factorization of 51405 in exponential form is:

51405 = 3¹ × 5¹ × 23¹ × 149¹

Step-2: Prime Factorization of 51415

Prime factors of 51415 are 5, 7, 13, 113. Prime factorization of 51415 in exponential form is:

51415 = 5¹ × 7¹ × 13¹ × 113¹

Step-3: Factors of 51405

List of positive integer factors of 51405 that divides 51405 without a remainder.

1, 3, 5, 15, 23, 69, 115, 149, 345, 447, 745, 2235, 3427, 10281, 17135

Step-4: Factors of 51415

List of positive integer factors of 51415 that divides 51405 without a remainder.

1, 5, 7, 13, 35, 65, 91, 113, 455, 565, 791, 1469, 3955, 7345, 10283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51405 and 51415. The biggest common factor number is the GCF number.
So the greatest common factor 51405 and 51415 is 5.

Also check out the Least Common Multiple of 51405 and 51415