What is the Greatest Common Factor of 98876 and 98890?

Greatest common factor (GCF) of 98876 and 98890 is 2.

GCF(98876,98890) = 2

We will now calculate the prime factors of 98876 and 98890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98876 and 98890.

How to find the GCF of 98876 and 98890?

We will first find the prime factorization of 98876 and 98890. After we will calculate the factors of 98876 and 98890 and find the biggest common factor number .

Step-1: Prime Factorization of 98876

Prime factors of 98876 are 2, 19, 1301. Prime factorization of 98876 in exponential form is:

98876 = 2² × 19¹ × 1301¹

Step-2: Prime Factorization of 98890

Prime factors of 98890 are 2, 5, 11, 29, 31. Prime factorization of 98890 in exponential form is:

98890 = 2¹ × 5¹ × 11¹ × 29¹ × 31¹

Step-3: Factors of 98876

List of positive integer factors of 98876 that divides 98876 without a remainder.

1, 2, 4, 19, 38, 76, 1301, 2602, 5204, 24719, 49438

Step-4: Factors of 98890

List of positive integer factors of 98890 that divides 98876 without a remainder.

1, 2, 5, 10, 11, 22, 29, 31, 55, 58, 62, 110, 145, 155, 290, 310, 319, 341, 638, 682, 899, 1595, 1705, 1798, 3190, 3410, 4495, 8990, 9889, 19778, 49445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98876 and 98890. The biggest common factor number is the GCF number.
So the greatest common factor 98876 and 98890 is 2.

Also check out the Least Common Multiple of 98876 and 98890