What is the Greatest Common Factor of 4234 and 4248?

Greatest common factor (GCF) of 4234 and 4248 is 2.

GCF(4234,4248) = 2

We will now calculate the prime factors of 4234 and 4248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4234 and 4248.

How to find the GCF of 4234 and 4248?

We will first find the prime factorization of 4234 and 4248. After we will calculate the factors of 4234 and 4248 and find the biggest common factor number .

Step-1: Prime Factorization of 4234

Prime factors of 4234 are 2, 29, 73. Prime factorization of 4234 in exponential form is:

4234 = 2¹ × 29¹ × 73¹

Step-2: Prime Factorization of 4248

Prime factors of 4248 are 2, 3, 59. Prime factorization of 4248 in exponential form is:

4248 = 2³ × 3² × 59¹

Step-3: Factors of 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1, 2, 29, 58, 73, 146, 2117

Step-4: Factors of 4248

List of positive integer factors of 4248 that divides 4234 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4234 and 4248. The biggest common factor number is the GCF number.
So the greatest common factor 4234 and 4248 is 2.

Also check out the Least Common Multiple of 4234 and 4248