What is the Greatest Common Factor of 99684 and 99701?

Greatest common factor (GCF) of 99684 and 99701 is 1.

GCF(99684,99701) = 1

We will now calculate the prime factors of 99684 and 99701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99684 and 99701.

How to find the GCF of 99684 and 99701?

We will first find the prime factorization of 99684 and 99701. After we will calculate the factors of 99684 and 99701 and find the biggest common factor number .

Step-1: Prime Factorization of 99684

Prime factors of 99684 are 2, 3, 13, 71. Prime factorization of 99684 in exponential form is:

99684 = 2² × 3³ × 13¹ × 71¹

Step-2: Prime Factorization of 99701

Prime factors of 99701 are 7, 14243. Prime factorization of 99701 in exponential form is:

99701 = 7¹ × 14243¹

Step-3: Factors of 99684

List of positive integer factors of 99684 that divides 99684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 71, 78, 108, 117, 142, 156, 213, 234, 284, 351, 426, 468, 639, 702, 852, 923, 1278, 1404, 1846, 1917, 2556, 2769, 3692, 3834, 5538, 7668, 8307, 11076, 16614, 24921, 33228, 49842

Step-4: Factors of 99701

List of positive integer factors of 99701 that divides 99684 without a remainder.

1, 7, 14243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99684 and 99701. The biggest common factor number is the GCF number.
So the greatest common factor 99684 and 99701 is 1.

Also check out the Least Common Multiple of 99684 and 99701