What is the Greatest Common Factor of 99769 and 99788?

Greatest common factor (GCF) of 99769 and 99788 is 19.

GCF(99769,99788) = 19

We will now calculate the prime factors of 99769 and 99788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99769 and 99788.

How to find the GCF of 99769 and 99788?

We will first find the prime factorization of 99769 and 99788. After we will calculate the factors of 99769 and 99788 and find the biggest common factor number .

Step-1: Prime Factorization of 99769

Prime factors of 99769 are 19, 59, 89. Prime factorization of 99769 in exponential form is:

99769 = 19¹ × 59¹ × 89¹

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 99769

List of positive integer factors of 99769 that divides 99769 without a remainder.

1, 19, 59, 89, 1121, 1691, 5251

Step-4: Factors of 99788

List of positive integer factors of 99788 that divides 99769 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 99769 and 99788. The biggest common factor number is the GCF number.
So the greatest common factor 99769 and 99788 is 19.

Also check out the Least Common Multiple of 99769 and 99788