What is the Greatest Common Factor of 99422 and 99428?

Greatest common factor (GCF) of 99422 and 99428 is 2.

GCF(99422,99428) = 2

We will now calculate the prime factors of 99422 and 99428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99422 and 99428.

How to find the GCF of 99422 and 99428?

We will first find the prime factorization of 99422 and 99428. After we will calculate the factors of 99422 and 99428 and find the biggest common factor number .

Step-1: Prime Factorization of 99422

Prime factors of 99422 are 2, 49711. Prime factorization of 99422 in exponential form is:

99422 = 2¹ × 49711¹

Step-2: 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-3: Factors of 99422

List of positive integer factors of 99422 that divides 99422 without a remainder.

1, 2, 49711

Step-4: Factors of 99428

List of positive integer factors of 99428 that divides 99422 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99422 and 99428. The biggest common factor number is the GCF number.
So the greatest common factor 99422 and 99428 is 2.

Also check out the Least Common Multiple of 99422 and 99428