What is the Greatest Common Factor of 99771 and 99780?

Greatest common factor (GCF) of 99771 and 99780 is 3.

GCF(99771,99780) = 3

We will now calculate the prime factors of 99771 and 99780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99771 and 99780.

How to find the GCF of 99771 and 99780?

We will first find the prime factorization of 99771 and 99780. After we will calculate the factors of 99771 and 99780 and find the biggest common factor number .

Step-1: Prime Factorization of 99771

Prime factors of 99771 are 3, 7, 4751. Prime factorization of 99771 in exponential form is:

99771 = 3¹ × 7¹ × 4751¹

Step-2: Prime Factorization of 99780

Prime factors of 99780 are 2, 3, 5, 1663. Prime factorization of 99780 in exponential form is:

99780 = 2² × 3¹ × 5¹ × 1663¹

Step-3: Factors of 99771

List of positive integer factors of 99771 that divides 99771 without a remainder.

1, 3, 7, 21, 4751, 14253, 33257

Step-4: Factors of 99780

List of positive integer factors of 99780 that divides 99771 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1663, 3326, 4989, 6652, 8315, 9978, 16630, 19956, 24945, 33260, 49890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99771 and 99780. The biggest common factor number is the GCF number.
So the greatest common factor 99771 and 99780 is 3.

Also check out the Least Common Multiple of 99771 and 99780