What is the Greatest Common Factor of 43675 and 43680?

Greatest common factor (GCF) of 43675 and 43680 is 5.

GCF(43675,43680) = 5

We will now calculate the prime factors of 43675 and 43680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43675 and 43680.

How to find the GCF of 43675 and 43680?

We will first find the prime factorization of 43675 and 43680. After we will calculate the factors of 43675 and 43680 and find the biggest common factor number .

Step-1: Prime Factorization of 43675

Prime factors of 43675 are 5, 1747. Prime factorization of 43675 in exponential form is:

43675 = 5² × 1747¹

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 43675

List of positive integer factors of 43675 that divides 43675 without a remainder.

1, 5, 25, 1747, 8735

Step-4: Factors of 43680

List of positive integer factors of 43680 that divides 43675 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 43675 and 43680. The biggest common factor number is the GCF number.
So the greatest common factor 43675 and 43680 is 5.

Also check out the Least Common Multiple of 43675 and 43680