What is the Greatest Common Factor of 67488 and 67499?

Greatest common factor (GCF) of 67488 and 67499 is 1.

GCF(67488,67499) = 1

We will now calculate the prime factors of 67488 and 67499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67488 and 67499.

How to find the GCF of 67488 and 67499?

We will first find the prime factorization of 67488 and 67499. After we will calculate the factors of 67488 and 67499 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 67499

Prime factors of 67499 are 67499. Prime factorization of 67499 in exponential form is:

67499 = 67499¹

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 67499

List of positive integer factors of 67499 that divides 67488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67488 and 67499. The biggest common factor number is the GCF number.
So the greatest common factor 67488 and 67499 is 1.

Also check out the Least Common Multiple of 67488 and 67499