What is the Greatest Common Factor of 67470 and 67488?

Greatest common factor (GCF) of 67470 and 67488 is 6.

GCF(67470,67488) = 6

We will now calculate the prime factors of 67470 and 67488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67470 and 67488.

How to find the GCF of 67470 and 67488?

We will first find the prime factorization of 67470 and 67488. After we will calculate the factors of 67470 and 67488 and find the biggest common factor number .

Step-1: Prime Factorization of 67470

Prime factors of 67470 are 2, 3, 5, 13, 173. Prime factorization of 67470 in exponential form is:

67470 = 2¹ × 3¹ × 5¹ × 13¹ × 173¹

Step-2: 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-3: Factors of 67470

List of positive integer factors of 67470 that divides 67470 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 173, 195, 346, 390, 519, 865, 1038, 1730, 2249, 2595, 4498, 5190, 6747, 11245, 13494, 22490, 33735

Step-4: Factors of 67488

List of positive integer factors of 67488 that divides 67470 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67470 and 67488. The biggest common factor number is the GCF number.
So the greatest common factor 67470 and 67488 is 6.

Also check out the Least Common Multiple of 67470 and 67488