What is the Greatest Common Factor of 67488 and 67504?

Greatest common factor (GCF) of 67488 and 67504 is 16.

GCF(67488,67504) = 16

We will now calculate the prime factors of 67488 and 67504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67488 and 67504.

How to find the GCF of 67488 and 67504?

We will first find the prime factorization of 67488 and 67504. After we will calculate the factors of 67488 and 67504 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 67504

Prime factors of 67504 are 2, 4219. Prime factorization of 67504 in exponential form is:

67504 = 2⁴ × 4219¹

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 67504

List of positive integer factors of 67504 that divides 67488 without a remainder.

1, 2, 4, 8, 16, 4219, 8438, 16876, 33752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67488 and 67504. The biggest common factor number is the GCF number.
So the greatest common factor 67488 and 67504 is 16.

Also check out the Least Common Multiple of 67488 and 67504