What is the Greatest Common Factor of 99640 and 99644?

Greatest common factor (GCF) of 99640 and 99644 is 4.

GCF(99640,99644) = 4

We will now calculate the prime factors of 99640 and 99644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99640 and 99644.

How to find the GCF of 99640 and 99644?

We will first find the prime factorization of 99640 and 99644. After we will calculate the factors of 99640 and 99644 and find the biggest common factor number .

Step-1: Prime Factorization of 99640

Prime factors of 99640 are 2, 5, 47, 53. Prime factorization of 99640 in exponential form is:

99640 = 2³ × 5¹ × 47¹ × 53¹

Step-2: Prime Factorization of 99644

Prime factors of 99644 are 2, 29, 859. Prime factorization of 99644 in exponential form is:

99644 = 2² × 29¹ × 859¹

Step-3: Factors of 99640

List of positive integer factors of 99640 that divides 99640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 53, 94, 106, 188, 212, 235, 265, 376, 424, 470, 530, 940, 1060, 1880, 2120, 2491, 4982, 9964, 12455, 19928, 24910, 49820

Step-4: Factors of 99644

List of positive integer factors of 99644 that divides 99640 without a remainder.

1, 2, 4, 29, 58, 116, 859, 1718, 3436, 24911, 49822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99640 and 99644. The biggest common factor number is the GCF number.
So the greatest common factor 99640 and 99644 is 4.

Also check out the Least Common Multiple of 99640 and 99644