What is the Greatest Common Factor of 43540 and 43554?

Greatest common factor (GCF) of 43540 and 43554 is 14.

GCF(43540,43554) = 14

We will now calculate the prime factors of 43540 and 43554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43540 and 43554.

How to find the GCF of 43540 and 43554?

We will first find the prime factorization of 43540 and 43554. After we will calculate the factors of 43540 and 43554 and find the biggest common factor number .

Step-1: Prime Factorization of 43540

Prime factors of 43540 are 2, 5, 7, 311. Prime factorization of 43540 in exponential form is:

43540 = 2² × 5¹ × 7¹ × 311¹

Step-2: Prime Factorization of 43554

Prime factors of 43554 are 2, 3, 7, 17, 61. Prime factorization of 43554 in exponential form is:

43554 = 2¹ × 3¹ × 7¹ × 17¹ × 61¹

Step-3: Factors of 43540

List of positive integer factors of 43540 that divides 43540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 311, 622, 1244, 1555, 2177, 3110, 4354, 6220, 8708, 10885, 21770

Step-4: Factors of 43554

List of positive integer factors of 43554 that divides 43540 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 61, 102, 119, 122, 183, 238, 357, 366, 427, 714, 854, 1037, 1281, 2074, 2562, 3111, 6222, 7259, 14518, 21777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43540 and 43554. The biggest common factor number is the GCF number.
So the greatest common factor 43540 and 43554 is 14.

Also check out the Least Common Multiple of 43540 and 43554