What is the Greatest Common Factor of 98871 and 98880?

Greatest common factor (GCF) of 98871 and 98880 is 3.

GCF(98871,98880) = 3

We will now calculate the prime factors of 98871 and 98880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98871 and 98880.

How to find the GCF of 98871 and 98880?

We will first find the prime factorization of 98871 and 98880. After we will calculate the factors of 98871 and 98880 and find the biggest common factor number .

Step-1: Prime Factorization of 98871

Prime factors of 98871 are 3, 32957. Prime factorization of 98871 in exponential form is:

98871 = 3¹ × 32957¹

Step-2: Prime Factorization of 98880

Prime factors of 98880 are 2, 3, 5, 103. Prime factorization of 98880 in exponential form is:

98880 = 2⁶ × 3¹ × 5¹ × 103¹

Step-3: Factors of 98871

List of positive integer factors of 98871 that divides 98871 without a remainder.

1, 3, 32957

Step-4: Factors of 98880

List of positive integer factors of 98880 that divides 98871 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 103, 120, 160, 192, 206, 240, 309, 320, 412, 480, 515, 618, 824, 960, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 6592, 8240, 9888, 12360, 16480, 19776, 24720, 32960, 49440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98871 and 98880. The biggest common factor number is the GCF number.
So the greatest common factor 98871 and 98880 is 3.

Also check out the Least Common Multiple of 98871 and 98880