What is the Greatest Common Factor of 24248 and 24262?

Greatest common factor (GCF) of 24248 and 24262 is 14.

GCF(24248,24262) = 14

We will now calculate the prime factors of 24248 and 24262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24248 and 24262.

How to find the GCF of 24248 and 24262?

We will first find the prime factorization of 24248 and 24262. After we will calculate the factors of 24248 and 24262 and find the biggest common factor number .

Step-1: Prime Factorization of 24248

Prime factors of 24248 are 2, 7, 433. Prime factorization of 24248 in exponential form is:

24248 = 2³ × 7¹ × 433¹

Step-2: Prime Factorization of 24262

Prime factors of 24262 are 2, 7, 1733. Prime factorization of 24262 in exponential form is:

24262 = 2¹ × 7¹ × 1733¹

Step-3: Factors of 24248

List of positive integer factors of 24248 that divides 24248 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 433, 866, 1732, 3031, 3464, 6062, 12124

Step-4: Factors of 24262

List of positive integer factors of 24262 that divides 24248 without a remainder.

1, 2, 7, 14, 1733, 3466, 12131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24248 and 24262. The biggest common factor number is the GCF number.
So the greatest common factor 24248 and 24262 is 14.

Also check out the Least Common Multiple of 24248 and 24262