What is the Greatest Common Factor of 43414 and 43428?

Greatest common factor (GCF) of 43414 and 43428 is 14.

GCF(43414,43428) = 14

We will now calculate the prime factors of 43414 and 43428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43414 and 43428.

How to find the GCF of 43414 and 43428?

We will first find the prime factorization of 43414 and 43428. After we will calculate the factors of 43414 and 43428 and find the biggest common factor number .

Step-1: Prime Factorization of 43414

Prime factors of 43414 are 2, 7, 443. Prime factorization of 43414 in exponential form is:

43414 = 2¹ × 7² × 443¹

Step-2: Prime Factorization of 43428

Prime factors of 43428 are 2, 3, 7, 11, 47. Prime factorization of 43428 in exponential form is:

43428 = 2² × 3¹ × 7¹ × 11¹ × 47¹

Step-3: Factors of 43414

List of positive integer factors of 43414 that divides 43414 without a remainder.

1, 2, 7, 14, 49, 98, 443, 886, 3101, 6202, 21707

Step-4: Factors of 43428

List of positive integer factors of 43428 that divides 43414 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 47, 66, 77, 84, 94, 132, 141, 154, 188, 231, 282, 308, 329, 462, 517, 564, 658, 924, 987, 1034, 1316, 1551, 1974, 2068, 3102, 3619, 3948, 6204, 7238, 10857, 14476, 21714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43414 and 43428. The biggest common factor number is the GCF number.
So the greatest common factor 43414 and 43428 is 14.

Also check out the Least Common Multiple of 43414 and 43428