What is the Greatest Common Factor of 67474 and 67488?

Greatest common factor (GCF) of 67474 and 67488 is 2.

GCF(67474,67488) = 2

We will now calculate the prime factors of 67474 and 67488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67474 and 67488.

How to find the GCF of 67474 and 67488?

We will first find the prime factorization of 67474 and 67488. After we will calculate the factors of 67474 and 67488 and find the biggest common factor number .

Step-1: Prime Factorization of 67474

Prime factors of 67474 are 2, 11, 3067. Prime factorization of 67474 in exponential form is:

67474 = 2¹ × 11¹ × 3067¹

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 67474

List of positive integer factors of 67474 that divides 67474 without a remainder.

1, 2, 11, 22, 3067, 6134, 33737

Step-4: Factors of 67488

List of positive integer factors of 67488 that divides 67474 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 67474 and 67488. The biggest common factor number is the GCF number.
So the greatest common factor 67474 and 67488 is 2.

Also check out the Least Common Multiple of 67474 and 67488