What is the Greatest Common Factor of 67488 and 67500?

Greatest common factor (GCF) of 67488 and 67500 is 12.

GCF(67488,67500) = 12

We will now calculate the prime factors of 67488 and 67500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67488 and 67500.

How to find the GCF of 67488 and 67500?

We will first find the prime factorization of 67488 and 67500. After we will calculate the factors of 67488 and 67500 and find the biggest common factor number .

Step-1: Prime Factorization of 67488

Prime factors of 67488 are 2, 3, 19, 37. Prime factorization of 67488 in exponential form is:

67488 = 2⁵ × 3¹ × 19¹ × 37¹

Step-2: Prime Factorization of 67500

Prime factors of 67500 are 2, 3, 5. Prime factorization of 67500 in exponential form is:

67500 = 2² × 3³ × 5⁴

Step-3: Factors of 67488

List of positive integer factors of 67488 that divides 67488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 37, 38, 48, 57, 74, 76, 96, 111, 114, 148, 152, 222, 228, 296, 304, 444, 456, 592, 608, 703, 888, 912, 1184, 1406, 1776, 1824, 2109, 2812, 3552, 4218, 5624, 8436, 11248, 16872, 22496, 33744

Step-4: Factors of 67500

List of positive integer factors of 67500 that divides 67488 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 625, 675, 750, 900, 1125, 1250, 1350, 1500, 1875, 2250, 2500, 2700, 3375, 3750, 4500, 5625, 6750, 7500, 11250, 13500, 16875, 22500, 33750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67488 and 67500. The biggest common factor number is the GCF number.
So the greatest common factor 67488 and 67500 is 12.

Also check out the Least Common Multiple of 67488 and 67500