What is the Greatest Common Factor of 72352 and 72360?

Greatest common factor (GCF) of 72352 and 72360 is 8.

GCF(72352,72360) = 8

We will now calculate the prime factors of 72352 and 72360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72352 and 72360.

How to find the GCF of 72352 and 72360?

We will first find the prime factorization of 72352 and 72360. After we will calculate the factors of 72352 and 72360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72360

Prime factors of 72360 are 2, 3, 5, 67. Prime factorization of 72360 in exponential form is:

72360 = 2³ × 3³ × 5¹ × 67¹

Step-3: Factors of 72352

List of positive integer factors of 72352 that divides 72352 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

Step-4: Factors of 72360

List of positive integer factors of 72360 that divides 72352 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 67, 72, 90, 108, 120, 134, 135, 180, 201, 216, 268, 270, 335, 360, 402, 536, 540, 603, 670, 804, 1005, 1080, 1206, 1340, 1608, 1809, 2010, 2412, 2680, 3015, 3618, 4020, 4824, 6030, 7236, 8040, 9045, 12060, 14472, 18090, 24120, 36180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72352 and 72360. The biggest common factor number is the GCF number.
So the greatest common factor 72352 and 72360 is 8.

Also check out the Least Common Multiple of 72352 and 72360