What is the Greatest Common Factor of 99428 and 99432?

Greatest common factor (GCF) of 99428 and 99432 is 4.

GCF(99428,99432) = 4

We will now calculate the prime factors of 99428 and 99432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99428 and 99432.

How to find the GCF of 99428 and 99432?

We will first find the prime factorization of 99428 and 99432. After we will calculate the factors of 99428 and 99432 and find the biggest common factor number .

Step-1: Prime Factorization of 99428

Prime factors of 99428 are 2, 7, 53, 67. Prime factorization of 99428 in exponential form is:

99428 = 2² × 7¹ × 53¹ × 67¹

Step-2: Prime Factorization of 99432

Prime factors of 99432 are 2, 3, 1381. Prime factorization of 99432 in exponential form is:

99432 = 2³ × 3² × 1381¹

Step-3: Factors of 99428

List of positive integer factors of 99428 that divides 99428 without a remainder.

1, 2, 4, 7, 14, 28, 53, 67, 106, 134, 212, 268, 371, 469, 742, 938, 1484, 1876, 3551, 7102, 14204, 24857, 49714

Step-4: Factors of 99432

List of positive integer factors of 99432 that divides 99428 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1381, 2762, 4143, 5524, 8286, 11048, 12429, 16572, 24858, 33144, 49716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99428 and 99432. The biggest common factor number is the GCF number.
So the greatest common factor 99428 and 99432 is 4.

Also check out the Least Common Multiple of 99428 and 99432