What is the Greatest Common Factor of 51417 and 51429?

Greatest common factor (GCF) of 51417 and 51429 is 3.

GCF(51417,51429) = 3

We will now calculate the prime factors of 51417 and 51429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51417 and 51429.

How to find the GCF of 51417 and 51429?

We will first find the prime factorization of 51417 and 51429. After we will calculate the factors of 51417 and 51429 and find the biggest common factor number .

Step-1: Prime Factorization of 51417

Prime factors of 51417 are 3, 29, 197. Prime factorization of 51417 in exponential form is:

51417 = 3² × 29¹ × 197¹

Step-2: Prime Factorization of 51429

Prime factors of 51429 are 3, 7, 31, 79. Prime factorization of 51429 in exponential form is:

51429 = 3¹ × 7¹ × 31¹ × 79¹

Step-3: Factors of 51417

List of positive integer factors of 51417 that divides 51417 without a remainder.

1, 3, 9, 29, 87, 197, 261, 591, 1773, 5713, 17139

Step-4: Factors of 51429

List of positive integer factors of 51429 that divides 51417 without a remainder.

1, 3, 7, 21, 31, 79, 93, 217, 237, 553, 651, 1659, 2449, 7347, 17143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51417 and 51429. The biggest common factor number is the GCF number.
So the greatest common factor 51417 and 51429 is 3.

Also check out the Least Common Multiple of 51417 and 51429