What is the Greatest Common Factor of 51849 and 51863?

Greatest common factor (GCF) of 51849 and 51863 is 7.

GCF(51849,51863) = 7

We will now calculate the prime factors of 51849 and 51863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51849 and 51863.

How to find the GCF of 51849 and 51863?

We will first find the prime factorization of 51849 and 51863. After we will calculate the factors of 51849 and 51863 and find the biggest common factor number .

Step-1: Prime Factorization of 51849

Prime factors of 51849 are 3, 7, 823. Prime factorization of 51849 in exponential form is:

51849 = 3² × 7¹ × 823¹

Step-2: Prime Factorization of 51863

Prime factors of 51863 are 7, 31, 239. Prime factorization of 51863 in exponential form is:

51863 = 7¹ × 31¹ × 239¹

Step-3: Factors of 51849

List of positive integer factors of 51849 that divides 51849 without a remainder.

1, 3, 7, 9, 21, 63, 823, 2469, 5761, 7407, 17283

Step-4: Factors of 51863

List of positive integer factors of 51863 that divides 51849 without a remainder.

1, 7, 31, 217, 239, 1673, 7409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51849 and 51863. The biggest common factor number is the GCF number.
So the greatest common factor 51849 and 51863 is 7.

Also check out the Least Common Multiple of 51849 and 51863