What is the Greatest Common Factor of 51963 and 51969?

Greatest common factor (GCF) of 51963 and 51969 is 3.

GCF(51963,51969) = 3

We will now calculate the prime factors of 51963 and 51969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51963 and 51969.

How to find the GCF of 51963 and 51969?

We will first find the prime factorization of 51963 and 51969. After we will calculate the factors of 51963 and 51969 and find the biggest common factor number .

Step-1: Prime Factorization of 51963

Prime factors of 51963 are 3, 17321. Prime factorization of 51963 in exponential form is:

51963 = 3¹ × 17321¹

Step-2: Prime Factorization of 51969

Prime factors of 51969 are 3, 17, 1019. Prime factorization of 51969 in exponential form is:

51969 = 3¹ × 17¹ × 1019¹

Step-3: Factors of 51963

List of positive integer factors of 51963 that divides 51963 without a remainder.

1, 3, 17321

Step-4: Factors of 51969

List of positive integer factors of 51969 that divides 51963 without a remainder.

1, 3, 17, 51, 1019, 3057, 17323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51963 and 51969. The biggest common factor number is the GCF number.
So the greatest common factor 51963 and 51969 is 3.

Also check out the Least Common Multiple of 51963 and 51969