What is the Greatest Common Factor of 51224 and 51243?

Greatest common factor (GCF) of 51224 and 51243 is 19.

GCF(51224,51243) = 19

We will now calculate the prime factors of 51224 and 51243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51224 and 51243.

How to find the GCF of 51224 and 51243?

We will first find the prime factorization of 51224 and 51243. After we will calculate the factors of 51224 and 51243 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 51243

Prime factors of 51243 are 3, 19, 29, 31. Prime factorization of 51243 in exponential form is:

51243 = 3¹ × 19¹ × 29¹ × 31¹

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 51243

List of positive integer factors of 51243 that divides 51224 without a remainder.

1, 3, 19, 29, 31, 57, 87, 93, 551, 589, 899, 1653, 1767, 2697, 17081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51224 and 51243. The biggest common factor number is the GCF number.
So the greatest common factor 51224 and 51243 is 19.

Also check out the Least Common Multiple of 51224 and 51243