What is the Greatest Common Factor of 51998 and 52010?

Greatest common factor (GCF) of 51998 and 52010 is 2.

GCF(51998,52010) = 2

We will now calculate the prime factors of 51998 and 52010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51998 and 52010.

How to find the GCF of 51998 and 52010?

We will first find the prime factorization of 51998 and 52010. After we will calculate the factors of 51998 and 52010 and find the biggest common factor number .

Step-1: Prime Factorization of 51998

Prime factors of 51998 are 2, 25999. Prime factorization of 51998 in exponential form is:

51998 = 2¹ × 25999¹

Step-2: Prime Factorization of 52010

Prime factors of 52010 are 2, 5, 7, 743. Prime factorization of 52010 in exponential form is:

52010 = 2¹ × 5¹ × 7¹ × 743¹

Step-3: Factors of 51998

List of positive integer factors of 51998 that divides 51998 without a remainder.

1, 2, 25999

Step-4: Factors of 52010

List of positive integer factors of 52010 that divides 51998 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 743, 1486, 3715, 5201, 7430, 10402, 26005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51998 and 52010. The biggest common factor number is the GCF number.
So the greatest common factor 51998 and 52010 is 2.

Also check out the Least Common Multiple of 51998 and 52010