What is the Greatest Common Factor of 99344 and 99362?

Greatest common factor (GCF) of 99344 and 99362 is 2.

GCF(99344,99362) = 2

We will now calculate the prime factors of 99344 and 99362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99344 and 99362.

How to find the GCF of 99344 and 99362?

We will first find the prime factorization of 99344 and 99362. After we will calculate the factors of 99344 and 99362 and find the biggest common factor number .

Step-1: Prime Factorization of 99344

Prime factors of 99344 are 2, 7, 887. Prime factorization of 99344 in exponential form is:

99344 = 2⁴ × 7¹ × 887¹

Step-2: Prime Factorization of 99362

Prime factors of 99362 are 2, 49681. Prime factorization of 99362 in exponential form is:

99362 = 2¹ × 49681¹

Step-3: Factors of 99344

List of positive integer factors of 99344 that divides 99344 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 887, 1774, 3548, 6209, 7096, 12418, 14192, 24836, 49672

Step-4: Factors of 99362

List of positive integer factors of 99362 that divides 99344 without a remainder.

1, 2, 49681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99344 and 99362. The biggest common factor number is the GCF number.
So the greatest common factor 99344 and 99362 is 2.

Also check out the Least Common Multiple of 99344 and 99362