What is the Greatest Common Factor of 68234 and 68252?

Greatest common factor (GCF) of 68234 and 68252 is 2.

GCF(68234,68252) = 2

We will now calculate the prime factors of 68234 and 68252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68234 and 68252.

How to find the GCF of 68234 and 68252?

We will first find the prime factorization of 68234 and 68252. After we will calculate the factors of 68234 and 68252 and find the biggest common factor number .

Step-1: Prime Factorization of 68234

Prime factors of 68234 are 2, 109, 313. Prime factorization of 68234 in exponential form is:

68234 = 2¹ × 109¹ × 313¹

Step-2: Prime Factorization of 68252

Prime factors of 68252 are 2, 113, 151. Prime factorization of 68252 in exponential form is:

68252 = 2² × 113¹ × 151¹

Step-3: Factors of 68234

List of positive integer factors of 68234 that divides 68234 without a remainder.

1, 2, 109, 218, 313, 626, 34117

Step-4: Factors of 68252

List of positive integer factors of 68252 that divides 68234 without a remainder.

1, 2, 4, 113, 151, 226, 302, 452, 604, 17063, 34126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68234 and 68252. The biggest common factor number is the GCF number.
So the greatest common factor 68234 and 68252 is 2.

Also check out the Least Common Multiple of 68234 and 68252