What is the Greatest Common Factor of 99544 and 99564?

Greatest common factor (GCF) of 99544 and 99564 is 4.

GCF(99544,99564) = 4

We will now calculate the prime factors of 99544 and 99564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99544 and 99564.

How to find the GCF of 99544 and 99564?

We will first find the prime factorization of 99544 and 99564. After we will calculate the factors of 99544 and 99564 and find the biggest common factor number .

Step-1: Prime Factorization of 99544

Prime factors of 99544 are 2, 23, 541. Prime factorization of 99544 in exponential form is:

99544 = 2³ × 23¹ × 541¹

Step-2: Prime Factorization of 99564

Prime factors of 99564 are 2, 3, 8297. Prime factorization of 99564 in exponential form is:

99564 = 2² × 3¹ × 8297¹

Step-3: Factors of 99544

List of positive integer factors of 99544 that divides 99544 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 541, 1082, 2164, 4328, 12443, 24886, 49772

Step-4: Factors of 99564

List of positive integer factors of 99564 that divides 99544 without a remainder.

1, 2, 3, 4, 6, 12, 8297, 16594, 24891, 33188, 49782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99544 and 99564. The biggest common factor number is the GCF number.
So the greatest common factor 99544 and 99564 is 4.

Also check out the Least Common Multiple of 99544 and 99564