What is the Greatest Common Factor of 68124 and 68144?

Greatest common factor (GCF) of 68124 and 68144 is 4.

GCF(68124,68144) = 4

We will now calculate the prime factors of 68124 and 68144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68124 and 68144.

How to find the GCF of 68124 and 68144?

We will first find the prime factorization of 68124 and 68144. After we will calculate the factors of 68124 and 68144 and find the biggest common factor number .

Step-1: Prime Factorization of 68124

Prime factors of 68124 are 2, 3, 7, 811. Prime factorization of 68124 in exponential form is:

68124 = 2² × 3¹ × 7¹ × 811¹

Step-2: Prime Factorization of 68144

Prime factors of 68144 are 2, 4259. Prime factorization of 68144 in exponential form is:

68144 = 2⁴ × 4259¹

Step-3: Factors of 68124

List of positive integer factors of 68124 that divides 68124 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 811, 1622, 2433, 3244, 4866, 5677, 9732, 11354, 17031, 22708, 34062

Step-4: Factors of 68144

List of positive integer factors of 68144 that divides 68124 without a remainder.

1, 2, 4, 8, 16, 4259, 8518, 17036, 34072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68124 and 68144. The biggest common factor number is the GCF number.
So the greatest common factor 68124 and 68144 is 4.

Also check out the Least Common Multiple of 68124 and 68144