What is the Greatest Common Factor of 51780 and 51790?

Greatest common factor (GCF) of 51780 and 51790 is 10.

GCF(51780,51790) = 10

We will now calculate the prime factors of 51780 and 51790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51780 and 51790.

How to find the GCF of 51780 and 51790?

We will first find the prime factorization of 51780 and 51790. After we will calculate the factors of 51780 and 51790 and find the biggest common factor number .

Step-1: Prime Factorization of 51780

Prime factors of 51780 are 2, 3, 5, 863. Prime factorization of 51780 in exponential form is:

51780 = 2² × 3¹ × 5¹ × 863¹

Step-2: Prime Factorization of 51790

Prime factors of 51790 are 2, 5, 5179. Prime factorization of 51790 in exponential form is:

51790 = 2¹ × 5¹ × 5179¹

Step-3: Factors of 51780

List of positive integer factors of 51780 that divides 51780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 863, 1726, 2589, 3452, 4315, 5178, 8630, 10356, 12945, 17260, 25890

Step-4: Factors of 51790

List of positive integer factors of 51790 that divides 51780 without a remainder.

1, 2, 5, 10, 5179, 10358, 25895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51780 and 51790. The biggest common factor number is the GCF number.
So the greatest common factor 51780 and 51790 is 10.

Also check out the Least Common Multiple of 51780 and 51790