What is the Greatest Common Factor of 10224 and 10237?

Greatest common factor (GCF) of 10224 and 10237 is 1.

GCF(10224,10237) = 1

We will now calculate the prime factors of 10224 and 10237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10224 and 10237.

How to find the GCF of 10224 and 10237?

We will first find the prime factorization of 10224 and 10237. After we will calculate the factors of 10224 and 10237 and find the biggest common factor number .

Step-1: Prime Factorization of 10224

Prime factors of 10224 are 2, 3, 71. Prime factorization of 10224 in exponential form is:

10224 = 2⁴ × 3² × 71¹

Step-2: Prime Factorization of 10237

Prime factors of 10237 are 29, 353. Prime factorization of 10237 in exponential form is:

10237 = 29¹ × 353¹

Step-3: Factors of 10224

List of positive integer factors of 10224 that divides 10224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112

Step-4: Factors of 10237

List of positive integer factors of 10237 that divides 10224 without a remainder.

1, 29, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10224 and 10237. The biggest common factor number is the GCF number.
So the greatest common factor 10224 and 10237 is 1.

Also check out the Least Common Multiple of 10224 and 10237