What is the Greatest Common Factor of 17472 and 17486?

Greatest common factor (GCF) of 17472 and 17486 is 14.

GCF(17472,17486) = 14

We will now calculate the prime factors of 17472 and 17486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17472 and 17486.

How to find the GCF of 17472 and 17486?

We will first find the prime factorization of 17472 and 17486. After we will calculate the factors of 17472 and 17486 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 17486

Prime factors of 17486 are 2, 7, 1249. Prime factorization of 17486 in exponential form is:

17486 = 2¹ × 7¹ × 1249¹

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 17486

List of positive integer factors of 17486 that divides 17472 without a remainder.

1, 2, 7, 14, 1249, 2498, 8743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17472 and 17486. The biggest common factor number is the GCF number.
So the greatest common factor 17472 and 17486 is 14.

Also check out the Least Common Multiple of 17472 and 17486