What is the Greatest Common Factor of 4249 and 4263?

Greatest common factor (GCF) of 4249 and 4263 is 7.

GCF(4249,4263) = 7

We will now calculate the prime factors of 4249 and 4263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4249 and 4263.

How to find the GCF of 4249 and 4263?

We will first find the prime factorization of 4249 and 4263. After we will calculate the factors of 4249 and 4263 and find the biggest common factor number .

Step-1: Prime Factorization of 4249

Prime factors of 4249 are 7, 607. Prime factorization of 4249 in exponential form is:

4249 = 7¹ × 607¹

Step-2: Prime Factorization of 4263

Prime factors of 4263 are 3, 7, 29. Prime factorization of 4263 in exponential form is:

4263 = 3¹ × 7² × 29¹

Step-3: Factors of 4249

List of positive integer factors of 4249 that divides 4249 without a remainder.

1, 7, 607

Step-4: Factors of 4263

List of positive integer factors of 4263 that divides 4249 without a remainder.

1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4249 and 4263. The biggest common factor number is the GCF number.
So the greatest common factor 4249 and 4263 is 7.

Also check out the Least Common Multiple of 4249 and 4263