What is the Greatest Common Factor of 17472 and 17485?

Greatest common factor (GCF) of 17472 and 17485 is 13.

GCF(17472,17485) = 13

We will now calculate the prime factors of 17472 and 17485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17472 and 17485.

How to find the GCF of 17472 and 17485?

We will first find the prime factorization of 17472 and 17485. After we will calculate the factors of 17472 and 17485 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 17485

Prime factors of 17485 are 5, 13, 269. Prime factorization of 17485 in exponential form is:

17485 = 5¹ × 13¹ × 269¹

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 17485

List of positive integer factors of 17485 that divides 17472 without a remainder.

1, 5, 13, 65, 269, 1345, 3497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17472 and 17485. The biggest common factor number is the GCF number.
So the greatest common factor 17472 and 17485 is 13.

Also check out the Least Common Multiple of 17472 and 17485