What is the Greatest Common Factor of 51345 and 51349?

Greatest common factor (GCF) of 51345 and 51349 is 1.

GCF(51345,51349) = 1

We will now calculate the prime factors of 51345 and 51349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51345 and 51349.

How to find the GCF of 51345 and 51349?

We will first find the prime factorization of 51345 and 51349. After we will calculate the factors of 51345 and 51349 and find the biggest common factor number .

Step-1: Prime Factorization of 51345

Prime factors of 51345 are 3, 5, 7, 163. Prime factorization of 51345 in exponential form is:

51345 = 3² × 5¹ × 7¹ × 163¹

Step-2: Prime Factorization of 51349

Prime factors of 51349 are 51349. Prime factorization of 51349 in exponential form is:

51349 = 51349¹

Step-3: Factors of 51345

List of positive integer factors of 51345 that divides 51345 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 163, 315, 489, 815, 1141, 1467, 2445, 3423, 5705, 7335, 10269, 17115

Step-4: Factors of 51349

List of positive integer factors of 51349 that divides 51345 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51345 and 51349. The biggest common factor number is the GCF number.
So the greatest common factor 51345 and 51349 is 1.

Also check out the Least Common Multiple of 51345 and 51349