What is the Greatest Common Factor of 99422 and 99440?

Greatest common factor (GCF) of 99422 and 99440 is 2.

GCF(99422,99440) = 2

We will now calculate the prime factors of 99422 and 99440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99422 and 99440.

How to find the GCF of 99422 and 99440?

We will first find the prime factorization of 99422 and 99440. After we will calculate the factors of 99422 and 99440 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 99440

Prime factors of 99440 are 2, 5, 11, 113. Prime factorization of 99440 in exponential form is:

99440 = 2⁴ × 5¹ × 11¹ × 113¹

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 99440

List of positive integer factors of 99440 that divides 99422 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 113, 176, 220, 226, 440, 452, 565, 880, 904, 1130, 1243, 1808, 2260, 2486, 4520, 4972, 6215, 9040, 9944, 12430, 19888, 24860, 49720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99422 and 99440. The biggest common factor number is the GCF number.
So the greatest common factor 99422 and 99440 is 2.

Also check out the Least Common Multiple of 99422 and 99440