What is the Greatest Common Factor of 99862 and 99869?

Greatest common factor (GCF) of 99862 and 99869 is 7.

GCF(99862,99869) = 7

We will now calculate the prime factors of 99862 and 99869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99862 and 99869.

How to find the GCF of 99862 and 99869?

We will first find the prime factorization of 99862 and 99869. After we will calculate the factors of 99862 and 99869 and find the biggest common factor number .

Step-1: Prime Factorization of 99862

Prime factors of 99862 are 2, 7, 1019. Prime factorization of 99862 in exponential form is:

99862 = 2¹ × 7² × 1019¹

Step-2: Prime Factorization of 99869

Prime factors of 99869 are 7, 11, 1297. Prime factorization of 99869 in exponential form is:

99869 = 7¹ × 11¹ × 1297¹

Step-3: Factors of 99862

List of positive integer factors of 99862 that divides 99862 without a remainder.

1, 2, 7, 14, 49, 98, 1019, 2038, 7133, 14266, 49931

Step-4: Factors of 99869

List of positive integer factors of 99869 that divides 99862 without a remainder.

1, 7, 11, 77, 1297, 9079, 14267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99862 and 99869. The biggest common factor number is the GCF number.
So the greatest common factor 99862 and 99869 is 7.

Also check out the Least Common Multiple of 99862 and 99869