What is the Greatest Common Factor of 68712 and 68728?

Greatest common factor (GCF) of 68712 and 68728 is 8.

GCF(68712,68728) = 8

We will now calculate the prime factors of 68712 and 68728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68712 and 68728.

How to find the GCF of 68712 and 68728?

We will first find the prime factorization of 68712 and 68728. After we will calculate the factors of 68712 and 68728 and find the biggest common factor number .

Step-1: Prime Factorization of 68712

Prime factors of 68712 are 2, 3, 7, 409. Prime factorization of 68712 in exponential form is:

68712 = 2³ × 3¹ × 7¹ × 409¹

Step-2: Prime Factorization of 68728

Prime factors of 68728 are 2, 11, 71. Prime factorization of 68728 in exponential form is:

68728 = 2³ × 11² × 71¹

Step-3: Factors of 68712

List of positive integer factors of 68712 that divides 68712 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 409, 818, 1227, 1636, 2454, 2863, 3272, 4908, 5726, 8589, 9816, 11452, 17178, 22904, 34356

Step-4: Factors of 68728

List of positive integer factors of 68728 that divides 68712 without a remainder.

1, 2, 4, 8, 11, 22, 44, 71, 88, 121, 142, 242, 284, 484, 568, 781, 968, 1562, 3124, 6248, 8591, 17182, 34364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68712 and 68728. The biggest common factor number is the GCF number.
So the greatest common factor 68712 and 68728 is 8.

Also check out the Least Common Multiple of 68712 and 68728