What is the Greatest Common Factor of 99828 and 99847?

Greatest common factor (GCF) of 99828 and 99847 is 1.

GCF(99828,99847) = 1

We will now calculate the prime factors of 99828 and 99847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99828 and 99847.

How to find the GCF of 99828 and 99847?

We will first find the prime factorization of 99828 and 99847. After we will calculate the factors of 99828 and 99847 and find the biggest common factor number .

Step-1: Prime Factorization of 99828

Prime factors of 99828 are 2, 3, 47, 59. Prime factorization of 99828 in exponential form is:

99828 = 2² × 3² × 47¹ × 59¹

Step-2: Prime Factorization of 99847

Prime factors of 99847 are 11, 29, 313. Prime factorization of 99847 in exponential form is:

99847 = 11¹ × 29¹ × 313¹

Step-3: Factors of 99828

List of positive integer factors of 99828 that divides 99828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 59, 94, 118, 141, 177, 188, 236, 282, 354, 423, 531, 564, 708, 846, 1062, 1692, 2124, 2773, 5546, 8319, 11092, 16638, 24957, 33276, 49914

Step-4: Factors of 99847

List of positive integer factors of 99847 that divides 99828 without a remainder.

1, 11, 29, 313, 319, 3443, 9077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99828 and 99847. The biggest common factor number is the GCF number.
So the greatest common factor 99828 and 99847 is 1.

Also check out the Least Common Multiple of 99828 and 99847