What is the Greatest Common Factor of 99775 and 99788?

Greatest common factor (GCF) of 99775 and 99788 is 13.

GCF(99775,99788) = 13

We will now calculate the prime factors of 99775 and 99788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99775 and 99788.

How to find the GCF of 99775 and 99788?

We will first find the prime factorization of 99775 and 99788. After we will calculate the factors of 99775 and 99788 and find the biggest common factor number .

Step-1: Prime Factorization of 99775

Prime factors of 99775 are 5, 13, 307. Prime factorization of 99775 in exponential form is:

99775 = 5² × 13¹ × 307¹

Step-2: Prime Factorization of 99788

Prime factors of 99788 are 2, 13, 19, 101. Prime factorization of 99788 in exponential form is:

99788 = 2² × 13¹ × 19¹ × 101¹

Step-3: Factors of 99775

List of positive integer factors of 99775 that divides 99775 without a remainder.

1, 5, 13, 25, 65, 307, 325, 1535, 3991, 7675, 19955

Step-4: Factors of 99788

List of positive integer factors of 99788 that divides 99775 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 101, 202, 247, 404, 494, 988, 1313, 1919, 2626, 3838, 5252, 7676, 24947, 49894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99775 and 99788. The biggest common factor number is the GCF number.
So the greatest common factor 99775 and 99788 is 13.

Also check out the Least Common Multiple of 99775 and 99788