What is the Greatest Common Factor of 34244 and 34252?

Greatest common factor (GCF) of 34244 and 34252 is 4.

GCF(34244,34252) = 4

We will now calculate the prime factors of 34244 and 34252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34244 and 34252.

How to find the GCF of 34244 and 34252?

We will first find the prime factorization of 34244 and 34252. After we will calculate the factors of 34244 and 34252 and find the biggest common factor number .

Step-1: Prime Factorization of 34244

Prime factors of 34244 are 2, 7, 1223. Prime factorization of 34244 in exponential form is:

34244 = 2² × 7¹ × 1223¹

Step-2: Prime Factorization of 34252

Prime factors of 34252 are 2, 8563. Prime factorization of 34252 in exponential form is:

34252 = 2² × 8563¹

Step-3: Factors of 34244

List of positive integer factors of 34244 that divides 34244 without a remainder.

1, 2, 4, 7, 14, 28, 1223, 2446, 4892, 8561, 17122

Step-4: Factors of 34252

List of positive integer factors of 34252 that divides 34244 without a remainder.

1, 2, 4, 8563, 17126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34244 and 34252. The biggest common factor number is the GCF number.
So the greatest common factor 34244 and 34252 is 4.

Also check out the Least Common Multiple of 34244 and 34252