What is the Greatest Common Factor of 87024 and 87040?

Greatest common factor (GCF) of 87024 and 87040 is 16.

GCF(87024,87040) = 16

We will now calculate the prime factors of 87024 and 87040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87024 and 87040.

How to find the GCF of 87024 and 87040?

We will first find the prime factorization of 87024 and 87040. After we will calculate the factors of 87024 and 87040 and find the biggest common factor number .

Step-1: Prime Factorization of 87024

Prime factors of 87024 are 2, 3, 7, 37. Prime factorization of 87024 in exponential form is:

87024 = 2⁴ × 3¹ × 7² × 37¹

Step-2: Prime Factorization of 87040

Prime factors of 87040 are 2, 5, 17. Prime factorization of 87040 in exponential form is:

87040 = 2¹⁰ × 5¹ × 17¹

Step-3: Factors of 87024

List of positive integer factors of 87024 that divides 87024 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 49, 56, 74, 84, 98, 111, 112, 147, 148, 168, 196, 222, 259, 294, 296, 336, 392, 444, 518, 588, 592, 777, 784, 888, 1036, 1176, 1554, 1776, 1813, 2072, 2352, 3108, 3626, 4144, 5439, 6216, 7252, 10878, 12432, 14504, 21756, 29008, 43512

Step-4: Factors of 87040

List of positive integer factors of 87040 that divides 87024 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 128, 136, 160, 170, 256, 272, 320, 340, 512, 544, 640, 680, 1024, 1088, 1280, 1360, 2176, 2560, 2720, 4352, 5120, 5440, 8704, 10880, 17408, 21760, 43520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87024 and 87040. The biggest common factor number is the GCF number.
So the greatest common factor 87024 and 87040 is 16.

Also check out the Least Common Multiple of 87024 and 87040