What is the Greatest Common Factor of 51996 and 52014?

Greatest common factor (GCF) of 51996 and 52014 is 6.

GCF(51996,52014) = 6

We will now calculate the prime factors of 51996 and 52014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51996 and 52014.

How to find the GCF of 51996 and 52014?

We will first find the prime factorization of 51996 and 52014. After we will calculate the factors of 51996 and 52014 and find the biggest common factor number .

Step-1: Prime Factorization of 51996

Prime factors of 51996 are 2, 3, 7, 619. Prime factorization of 51996 in exponential form is:

51996 = 2² × 3¹ × 7¹ × 619¹

Step-2: Prime Factorization of 52014

Prime factors of 52014 are 2, 3, 8669. Prime factorization of 52014 in exponential form is:

52014 = 2¹ × 3¹ × 8669¹

Step-3: Factors of 51996

List of positive integer factors of 51996 that divides 51996 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 619, 1238, 1857, 2476, 3714, 4333, 7428, 8666, 12999, 17332, 25998

Step-4: Factors of 52014

List of positive integer factors of 52014 that divides 51996 without a remainder.

1, 2, 3, 6, 8669, 17338, 26007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51996 and 52014. The biggest common factor number is the GCF number.
So the greatest common factor 51996 and 52014 is 6.

Also check out the Least Common Multiple of 51996 and 52014