What is the Greatest Common Factor of 51220 and 51230?

Greatest common factor (GCF) of 51220 and 51230 is 10.

GCF(51220,51230) = 10

We will now calculate the prime factors of 51220 and 51230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51220 and 51230.

How to find the GCF of 51220 and 51230?

We will first find the prime factorization of 51220 and 51230. After we will calculate the factors of 51220 and 51230 and find the biggest common factor number .

Step-1: Prime Factorization of 51220

Prime factors of 51220 are 2, 5, 13, 197. Prime factorization of 51220 in exponential form is:

51220 = 2² × 5¹ × 13¹ × 197¹

Step-2: Prime Factorization of 51230

Prime factors of 51230 are 2, 5, 47, 109. Prime factorization of 51230 in exponential form is:

51230 = 2¹ × 5¹ × 47¹ × 109¹

Step-3: Factors of 51220

List of positive integer factors of 51220 that divides 51220 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 197, 260, 394, 788, 985, 1970, 2561, 3940, 5122, 10244, 12805, 25610

Step-4: Factors of 51230

List of positive integer factors of 51230 that divides 51220 without a remainder.

1, 2, 5, 10, 47, 94, 109, 218, 235, 470, 545, 1090, 5123, 10246, 25615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51220 and 51230. The biggest common factor number is the GCF number.
So the greatest common factor 51220 and 51230 is 10.

Also check out the Least Common Multiple of 51220 and 51230