What is the Greatest Common Factor of 72696 and 72704?

Greatest common factor (GCF) of 72696 and 72704 is 8.

GCF(72696,72704) = 8

We will now calculate the prime factors of 72696 and 72704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72696 and 72704.

How to find the GCF of 72696 and 72704?

We will first find the prime factorization of 72696 and 72704. After we will calculate the factors of 72696 and 72704 and find the biggest common factor number .

Step-1: Prime Factorization of 72696

Prime factors of 72696 are 2, 3, 13, 233. Prime factorization of 72696 in exponential form is:

72696 = 2³ × 3¹ × 13¹ × 233¹

Step-2: Prime Factorization of 72704

Prime factors of 72704 are 2, 71. Prime factorization of 72704 in exponential form is:

72704 = 2¹⁰ × 71¹

Step-3: Factors of 72696

List of positive integer factors of 72696 that divides 72696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 233, 312, 466, 699, 932, 1398, 1864, 2796, 3029, 5592, 6058, 9087, 12116, 18174, 24232, 36348

Step-4: Factors of 72704

List of positive integer factors of 72704 that divides 72696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1024, 1136, 2272, 4544, 9088, 18176, 36352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72696 and 72704. The biggest common factor number is the GCF number.
So the greatest common factor 72696 and 72704 is 8.

Also check out the Least Common Multiple of 72696 and 72704