What is the Greatest Common Factor of 68414 and 68428?

Greatest common factor (GCF) of 68414 and 68428 is 2.

GCF(68414,68428) = 2

We will now calculate the prime factors of 68414 and 68428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68414 and 68428.

How to find the GCF of 68414 and 68428?

We will first find the prime factorization of 68414 and 68428. After we will calculate the factors of 68414 and 68428 and find the biggest common factor number .

Step-1: Prime Factorization of 68414

Prime factors of 68414 are 2, 79, 433. Prime factorization of 68414 in exponential form is:

68414 = 2¹ × 79¹ × 433¹

Step-2: Prime Factorization of 68428

Prime factors of 68428 are 2, 17107. Prime factorization of 68428 in exponential form is:

68428 = 2² × 17107¹

Step-3: Factors of 68414

List of positive integer factors of 68414 that divides 68414 without a remainder.

1, 2, 79, 158, 433, 866, 34207

Step-4: Factors of 68428

List of positive integer factors of 68428 that divides 68414 without a remainder.

1, 2, 4, 17107, 34214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68414 and 68428. The biggest common factor number is the GCF number.
So the greatest common factor 68414 and 68428 is 2.

Also check out the Least Common Multiple of 68414 and 68428