What is the Greatest Common Factor of 43667 and 43680?

Greatest common factor (GCF) of 43667 and 43680 is 13.

GCF(43667,43680) = 13

We will now calculate the prime factors of 43667 and 43680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43667 and 43680.

How to find the GCF of 43667 and 43680?

We will first find the prime factorization of 43667 and 43680. After we will calculate the factors of 43667 and 43680 and find the biggest common factor number .

Step-1: Prime Factorization of 43667

Prime factors of 43667 are 13, 3359. Prime factorization of 43667 in exponential form is:

43667 = 13¹ × 3359¹

Step-2: Prime Factorization of 43680

Prime factors of 43680 are 2, 3, 5, 7, 13. Prime factorization of 43680 in exponential form is:

43680 = 2⁵ × 3¹ × 5¹ × 7¹ × 13¹

Step-3: Factors of 43667

List of positive integer factors of 43667 that divides 43667 without a remainder.

1, 13, 3359

Step-4: Factors of 43680

List of positive integer factors of 43680 that divides 43667 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 32, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 96, 104, 105, 112, 120, 130, 140, 156, 160, 168, 182, 195, 208, 210, 224, 240, 260, 273, 280, 312, 336, 364, 390, 416, 420, 455, 480, 520, 546, 560, 624, 672, 728, 780, 840, 910, 1040, 1092, 1120, 1248, 1365, 1456, 1560, 1680, 1820, 2080, 2184, 2730, 2912, 3120, 3360, 3640, 4368, 5460, 6240, 7280, 8736, 10920, 14560, 21840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43667 and 43680. The biggest common factor number is the GCF number.
So the greatest common factor 43667 and 43680 is 13.

Also check out the Least Common Multiple of 43667 and 43680