What is the Greatest Common Factor of 72912 and 72926?

Greatest common factor (GCF) of 72912 and 72926 is 14.

GCF(72912,72926) = 14

We will now calculate the prime factors of 72912 and 72926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72912 and 72926.

How to find the GCF of 72912 and 72926?

We will first find the prime factorization of 72912 and 72926. After we will calculate the factors of 72912 and 72926 and find the biggest common factor number .

Step-1: Prime Factorization of 72912

Prime factors of 72912 are 2, 3, 7, 31. Prime factorization of 72912 in exponential form is:

72912 = 2⁴ × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 72926

Prime factors of 72926 are 2, 7, 5209. Prime factorization of 72926 in exponential form is:

72926 = 2¹ × 7¹ × 5209¹

Step-3: Factors of 72912

List of positive integer factors of 72912 that divides 72912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 42, 48, 49, 56, 62, 84, 93, 98, 112, 124, 147, 168, 186, 196, 217, 248, 294, 336, 372, 392, 434, 496, 588, 651, 744, 784, 868, 1176, 1302, 1488, 1519, 1736, 2352, 2604, 3038, 3472, 4557, 5208, 6076, 9114, 10416, 12152, 18228, 24304, 36456

Step-4: Factors of 72926

List of positive integer factors of 72926 that divides 72912 without a remainder.

1, 2, 7, 14, 5209, 10418, 36463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72912 and 72926. The biggest common factor number is the GCF number.
So the greatest common factor 72912 and 72926 is 14.

Also check out the Least Common Multiple of 72912 and 72926