What is the Greatest Common Factor of 72336 and 72352?

Greatest common factor (GCF) of 72336 and 72352 is 16.

GCF(72336,72352) = 16

We will now calculate the prime factors of 72336 and 72352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72336 and 72352.

How to find the GCF of 72336 and 72352?

We will first find the prime factorization of 72336 and 72352. After we will calculate the factors of 72336 and 72352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72352

Prime factors of 72352 are 2, 7, 17, 19. Prime factorization of 72352 in exponential form is:

72352 = 2⁵ × 7¹ × 17¹ × 19¹

Step-3: Factors of 72336

List of positive integer factors of 72336 that divides 72336 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

Step-4: Factors of 72352

List of positive integer factors of 72352 that divides 72336 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 19, 28, 32, 34, 38, 56, 68, 76, 112, 119, 133, 136, 152, 224, 238, 266, 272, 304, 323, 476, 532, 544, 608, 646, 952, 1064, 1292, 1904, 2128, 2261, 2584, 3808, 4256, 4522, 5168, 9044, 10336, 18088, 36176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72336 and 72352. The biggest common factor number is the GCF number.
So the greatest common factor 72336 and 72352 is 16.

Also check out the Least Common Multiple of 72336 and 72352