What is the Greatest Common Factor of 17472 and 17492?

Greatest common factor (GCF) of 17472 and 17492 is 4.

GCF(17472,17492) = 4

We will now calculate the prime factors of 17472 and 17492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17472 and 17492.

How to find the GCF of 17472 and 17492?

We will first find the prime factorization of 17472 and 17492. After we will calculate the factors of 17472 and 17492 and find the biggest common factor number .

Step-1: Prime Factorization of 17472

Prime factors of 17472 are 2, 3, 7, 13. Prime factorization of 17472 in exponential form is:

17472 = 2⁶ × 3¹ × 7¹ × 13¹

Step-2: Prime Factorization of 17492

Prime factors of 17492 are 2, 4373. Prime factorization of 17492 in exponential form is:

17492 = 2² × 4373¹

Step-3: Factors of 17472

List of positive integer factors of 17472 that divides 17472 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 64, 78, 84, 91, 96, 104, 112, 156, 168, 182, 192, 208, 224, 273, 312, 336, 364, 416, 448, 546, 624, 672, 728, 832, 1092, 1248, 1344, 1456, 2184, 2496, 2912, 4368, 5824, 8736

Step-4: Factors of 17492

List of positive integer factors of 17492 that divides 17472 without a remainder.

1, 2, 4, 4373, 8746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17472 and 17492. The biggest common factor number is the GCF number.
So the greatest common factor 17472 and 17492 is 4.

Also check out the Least Common Multiple of 17472 and 17492