What is the Greatest Common Factor of 99562 and 99568?

Greatest common factor (GCF) of 99562 and 99568 is 2.

GCF(99562,99568) = 2

We will now calculate the prime factors of 99562 and 99568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99562 and 99568.

How to find the GCF of 99562 and 99568?

We will first find the prime factorization of 99562 and 99568. After we will calculate the factors of 99562 and 99568 and find the biggest common factor number .

Step-1: Prime Factorization of 99562

Prime factors of 99562 are 2, 67, 743. Prime factorization of 99562 in exponential form is:

99562 = 2¹ × 67¹ × 743¹

Step-2: Prime Factorization of 99568

Prime factors of 99568 are 2, 7, 127. Prime factorization of 99568 in exponential form is:

99568 = 2⁴ × 7² × 127¹

Step-3: Factors of 99562

List of positive integer factors of 99562 that divides 99562 without a remainder.

1, 2, 67, 134, 743, 1486, 49781

Step-4: Factors of 99568

List of positive integer factors of 99568 that divides 99562 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 127, 196, 254, 392, 508, 784, 889, 1016, 1778, 2032, 3556, 6223, 7112, 12446, 14224, 24892, 49784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99562 and 99568. The biggest common factor number is the GCF number.
So the greatest common factor 99562 and 99568 is 2.

Also check out the Least Common Multiple of 99562 and 99568