What is the Greatest Common Factor of 98868 and 98879?

Greatest common factor (GCF) of 98868 and 98879 is 11.

GCF(98868,98879) = 11

We will now calculate the prime factors of 98868 and 98879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98868 and 98879.

How to find the GCF of 98868 and 98879?

We will first find the prime factorization of 98868 and 98879. After we will calculate the factors of 98868 and 98879 and find the biggest common factor number .

Step-1: Prime Factorization of 98868

Prime factors of 98868 are 2, 3, 7, 11, 107. Prime factorization of 98868 in exponential form is:

98868 = 2² × 3¹ × 7¹ × 11¹ × 107¹

Step-2: Prime Factorization of 98879

Prime factors of 98879 are 11, 89, 101. Prime factorization of 98879 in exponential form is:

98879 = 11¹ × 89¹ × 101¹

Step-3: Factors of 98868

List of positive integer factors of 98868 that divides 98868 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 107, 132, 154, 214, 231, 308, 321, 428, 462, 642, 749, 924, 1177, 1284, 1498, 2247, 2354, 2996, 3531, 4494, 4708, 7062, 8239, 8988, 14124, 16478, 24717, 32956, 49434

Step-4: Factors of 98879

List of positive integer factors of 98879 that divides 98868 without a remainder.

1, 11, 89, 101, 979, 1111, 8989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98868 and 98879. The biggest common factor number is the GCF number.
So the greatest common factor 98868 and 98879 is 11.

Also check out the Least Common Multiple of 98868 and 98879