What is the Greatest Common Factor of 43428 and 43435?

Greatest common factor (GCF) of 43428 and 43435 is 7.

GCF(43428,43435) = 7

We will now calculate the prime factors of 43428 and 43435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43428 and 43435.

How to find the GCF of 43428 and 43435?

We will first find the prime factorization of 43428 and 43435. After we will calculate the factors of 43428 and 43435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43435

Prime factors of 43435 are 5, 7, 17, 73. Prime factorization of 43435 in exponential form is:

43435 = 5¹ × 7¹ × 17¹ × 73¹

Step-3: Factors of 43428

List of positive integer factors of 43428 that divides 43428 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

Step-4: Factors of 43435

List of positive integer factors of 43435 that divides 43428 without a remainder.

1, 5, 7, 17, 35, 73, 85, 119, 365, 511, 595, 1241, 2555, 6205, 8687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43428 and 43435. The biggest common factor number is the GCF number.
So the greatest common factor 43428 and 43435 is 7.

Also check out the Least Common Multiple of 43428 and 43435