What is the Greatest Common Factor of 4284 and 4291?

Greatest common factor (GCF) of 4284 and 4291 is 7.

GCF(4284,4291) = 7

We will now calculate the prime factors of 4284 and 4291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4284 and 4291.

How to find the GCF of 4284 and 4291?

We will first find the prime factorization of 4284 and 4291. After we will calculate the factors of 4284 and 4291 and find the biggest common factor number .

Step-1: Prime Factorization of 4284

Prime factors of 4284 are 2, 3, 7, 17. Prime factorization of 4284 in exponential form is:

4284 = 2² × 3² × 7¹ × 17¹

Step-2: Prime Factorization of 4291

Prime factors of 4291 are 7, 613. Prime factorization of 4291 in exponential form is:

4291 = 7¹ × 613¹

Step-3: Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142

Step-4: Factors of 4291

List of positive integer factors of 4291 that divides 4284 without a remainder.

1, 7, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4284 and 4291. The biggest common factor number is the GCF number.
So the greatest common factor 4284 and 4291 is 7.

Also check out the Least Common Multiple of 4284 and 4291