What is the Greatest Common Factor of 67488 and 67494?

Greatest common factor (GCF) of 67488 and 67494 is 6.

GCF(67488,67494) = 6

We will now calculate the prime factors of 67488 and 67494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67488 and 67494.

How to find the GCF of 67488 and 67494?

We will first find the prime factorization of 67488 and 67494. After we will calculate the factors of 67488 and 67494 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 67494

Prime factors of 67494 are 2, 3, 7, 1607. Prime factorization of 67494 in exponential form is:

67494 = 2¹ × 3¹ × 7¹ × 1607¹

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 67494

List of positive integer factors of 67494 that divides 67488 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1607, 3214, 4821, 9642, 11249, 22498, 33747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67488 and 67494. The biggest common factor number is the GCF number.
So the greatest common factor 67488 and 67494 is 6.

Also check out the Least Common Multiple of 67488 and 67494