What is the Greatest Common Factor of 51224 and 51230?

Greatest common factor (GCF) of 51224 and 51230 is 2.

GCF(51224,51230) = 2

We will now calculate the prime factors of 51224 and 51230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51224 and 51230.

How to find the GCF of 51224 and 51230?

We will first find the prime factorization of 51224 and 51230. After we will calculate the factors of 51224 and 51230 and find the biggest common factor number .

Step-1: Prime Factorization of 51224

Prime factors of 51224 are 2, 19, 337. Prime factorization of 51224 in exponential form is:

51224 = 2³ × 19¹ × 337¹

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 51224

List of positive integer factors of 51224 that divides 51224 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 337, 674, 1348, 2696, 6403, 12806, 25612

Step-4: Factors of 51230

List of positive integer factors of 51230 that divides 51224 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 51224 and 51230. The biggest common factor number is the GCF number.
So the greatest common factor 51224 and 51230 is 2.

Also check out the Least Common Multiple of 51224 and 51230