What is the Greatest Common Factor of 68652 and 68672?

Greatest common factor (GCF) of 68652 and 68672 is 4.

GCF(68652,68672) = 4

We will now calculate the prime factors of 68652 and 68672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68652 and 68672.

How to find the GCF of 68652 and 68672?

We will first find the prime factorization of 68652 and 68672. After we will calculate the factors of 68652 and 68672 and find the biggest common factor number .

Step-1: Prime Factorization of 68652

Prime factors of 68652 are 2, 3, 1907. Prime factorization of 68652 in exponential form is:

68652 = 2² × 3² × 1907¹

Step-2: Prime Factorization of 68672

Prime factors of 68672 are 2, 29, 37. Prime factorization of 68672 in exponential form is:

68672 = 2⁶ × 29¹ × 37¹

Step-3: Factors of 68652

List of positive integer factors of 68652 that divides 68652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1907, 3814, 5721, 7628, 11442, 17163, 22884, 34326

Step-4: Factors of 68672

List of positive integer factors of 68672 that divides 68652 without a remainder.

1, 2, 4, 8, 16, 29, 32, 37, 58, 64, 74, 116, 148, 232, 296, 464, 592, 928, 1073, 1184, 1856, 2146, 2368, 4292, 8584, 17168, 34336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68652 and 68672. The biggest common factor number is the GCF number.
So the greatest common factor 68652 and 68672 is 4.

Also check out the Least Common Multiple of 68652 and 68672