What is the Greatest Common Factor of 72320 and 72336?

Greatest common factor (GCF) of 72320 and 72336 is 16.

GCF(72320,72336) = 16

We will now calculate the prime factors of 72320 and 72336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72320 and 72336.

How to find the GCF of 72320 and 72336?

We will first find the prime factorization of 72320 and 72336. After we will calculate the factors of 72320 and 72336 and find the biggest common factor number .

Step-1: Prime Factorization of 72320

Prime factors of 72320 are 2, 5, 113. Prime factorization of 72320 in exponential form is:

72320 = 2⁷ × 5¹ × 113¹

Step-2: Prime Factorization of 72336

Prime factors of 72336 are 2, 3, 11, 137. Prime factorization of 72336 in exponential form is:

72336 = 2⁴ × 3¹ × 11¹ × 137¹

Step-3: Factors of 72320

List of positive integer factors of 72320 that divides 72320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 113, 128, 160, 226, 320, 452, 565, 640, 904, 1130, 1808, 2260, 3616, 4520, 7232, 9040, 14464, 18080, 36160

Step-4: Factors of 72336

List of positive integer factors of 72336 that divides 72320 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 137, 176, 264, 274, 411, 528, 548, 822, 1096, 1507, 1644, 2192, 3014, 3288, 4521, 6028, 6576, 9042, 12056, 18084, 24112, 36168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72320 and 72336. The biggest common factor number is the GCF number.
So the greatest common factor 72320 and 72336 is 16.

Also check out the Least Common Multiple of 72320 and 72336