What is the Greatest Common Factor of 72335 and 72352?

Greatest common factor (GCF) of 72335 and 72352 is 17.

GCF(72335,72352) = 17

We will now calculate the prime factors of 72335 and 72352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72335 and 72352.

How to find the GCF of 72335 and 72352?

We will first find the prime factorization of 72335 and 72352. After we will calculate the factors of 72335 and 72352 and find the biggest common factor number .

Step-1: Prime Factorization of 72335

Prime factors of 72335 are 5, 17, 23, 37. Prime factorization of 72335 in exponential form is:

72335 = 5¹ × 17¹ × 23¹ × 37¹

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 72335

List of positive integer factors of 72335 that divides 72335 without a remainder.

1, 5, 17, 23, 37, 85, 115, 185, 391, 629, 851, 1955, 3145, 4255, 14467

Step-4: Factors of 72352

List of positive integer factors of 72352 that divides 72335 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 72335 and 72352. The biggest common factor number is the GCF number.
So the greatest common factor 72335 and 72352 is 17.

Also check out the Least Common Multiple of 72335 and 72352