What is the Greatest Common Factor of 68110 and 68124?

Greatest common factor (GCF) of 68110 and 68124 is 14.

GCF(68110,68124) = 14

We will now calculate the prime factors of 68110 and 68124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68110 and 68124.

How to find the GCF of 68110 and 68124?

We will first find the prime factorization of 68110 and 68124. After we will calculate the factors of 68110 and 68124 and find the biggest common factor number .

Step-1: Prime Factorization of 68110

Prime factors of 68110 are 2, 5, 7, 139. Prime factorization of 68110 in exponential form is:

68110 = 2¹ × 5¹ × 7² × 139¹

Step-2: 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-3: Factors of 68110

List of positive integer factors of 68110 that divides 68110 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 139, 245, 278, 490, 695, 973, 1390, 1946, 4865, 6811, 9730, 13622, 34055

Step-4: Factors of 68124

List of positive integer factors of 68124 that divides 68110 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68110 and 68124. The biggest common factor number is the GCF number.
So the greatest common factor 68110 and 68124 is 14.

Also check out the Least Common Multiple of 68110 and 68124