What is the Greatest Common Factor of 99883 and 99897?

Greatest common factor (GCF) of 99883 and 99897 is 7.

GCF(99883,99897) = 7

We will now calculate the prime factors of 99883 and 99897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99883 and 99897.

How to find the GCF of 99883 and 99897?

We will first find the prime factorization of 99883 and 99897. After we will calculate the factors of 99883 and 99897 and find the biggest common factor number .

Step-1: Prime Factorization of 99883

Prime factors of 99883 are 7, 19, 751. Prime factorization of 99883 in exponential form is:

99883 = 7¹ × 19¹ × 751¹

Step-2: Prime Factorization of 99897

Prime factors of 99897 are 3, 7, 67, 71. Prime factorization of 99897 in exponential form is:

99897 = 3¹ × 7¹ × 67¹ × 71¹

Step-3: Factors of 99883

List of positive integer factors of 99883 that divides 99883 without a remainder.

1, 7, 19, 133, 751, 5257, 14269

Step-4: Factors of 99897

List of positive integer factors of 99897 that divides 99883 without a remainder.

1, 3, 7, 21, 67, 71, 201, 213, 469, 497, 1407, 1491, 4757, 14271, 33299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99883 and 99897. The biggest common factor number is the GCF number.
So the greatest common factor 99883 and 99897 is 7.

Also check out the Least Common Multiple of 99883 and 99897