What is the Greatest Common Factor of 99780 and 99790?

Greatest common factor (GCF) of 99780 and 99790 is 10.

GCF(99780,99790) = 10

We will now calculate the prime factors of 99780 and 99790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99780 and 99790.

How to find the GCF of 99780 and 99790?

We will first find the prime factorization of 99780 and 99790. After we will calculate the factors of 99780 and 99790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99790

Prime factors of 99790 are 2, 5, 17, 587. Prime factorization of 99790 in exponential form is:

99790 = 2¹ × 5¹ × 17¹ × 587¹

Step-3: Factors of 99780

List of positive integer factors of 99780 that divides 99780 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

Step-4: Factors of 99790

List of positive integer factors of 99790 that divides 99780 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 587, 1174, 2935, 5870, 9979, 19958, 49895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99780 and 99790. The biggest common factor number is the GCF number.
So the greatest common factor 99780 and 99790 is 10.

Also check out the Least Common Multiple of 99780 and 99790