What is the Greatest Common Factor of 99774 and 99789?

Greatest common factor (GCF) of 99774 and 99789 is 3.

GCF(99774,99789) = 3

We will now calculate the prime factors of 99774 and 99789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99774 and 99789.

How to find the GCF of 99774 and 99789?

We will first find the prime factorization of 99774 and 99789. After we will calculate the factors of 99774 and 99789 and find the biggest common factor number .

Step-1: Prime Factorization of 99774

Prime factors of 99774 are 2, 3, 23, 241. Prime factorization of 99774 in exponential form is:

99774 = 2¹ × 3² × 23¹ × 241¹

Step-2: Prime Factorization of 99789

Prime factors of 99789 are 3, 29, 31, 37. Prime factorization of 99789 in exponential form is:

99789 = 3¹ × 29¹ × 31¹ × 37¹

Step-3: Factors of 99774

List of positive integer factors of 99774 that divides 99774 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 241, 414, 482, 723, 1446, 2169, 4338, 5543, 11086, 16629, 33258, 49887

Step-4: Factors of 99789

List of positive integer factors of 99789 that divides 99774 without a remainder.

1, 3, 29, 31, 37, 87, 93, 111, 899, 1073, 1147, 2697, 3219, 3441, 33263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99774 and 99789. The biggest common factor number is the GCF number.
So the greatest common factor 99774 and 99789 is 3.

Also check out the Least Common Multiple of 99774 and 99789