What is the Greatest Common Factor of 4235 and 4249?

Greatest common factor (GCF) of 4235 and 4249 is 7.

GCF(4235,4249) = 7

We will now calculate the prime factors of 4235 and 4249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4235 and 4249.

How to find the GCF of 4235 and 4249?

We will first find the prime factorization of 4235 and 4249. After we will calculate the factors of 4235 and 4249 and find the biggest common factor number .

Step-1: Prime Factorization of 4235

Prime factors of 4235 are 5, 7, 11. Prime factorization of 4235 in exponential form is:

4235 = 5¹ × 7¹ × 11²

Step-2: Prime Factorization of 4249

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

4249 = 7¹ × 607¹

Step-3: Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847

Step-4: Factors of 4249

List of positive integer factors of 4249 that divides 4235 without a remainder.

1, 7, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4235 and 4249. The biggest common factor number is the GCF number.
So the greatest common factor 4235 and 4249 is 7.

Also check out the Least Common Multiple of 4235 and 4249