What is the Greatest Common Factor of 98930 and 98943?

Greatest common factor (GCF) of 98930 and 98943 is 13.

GCF(98930,98943) = 13

We will now calculate the prime factors of 98930 and 98943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98930 and 98943.

How to find the GCF of 98930 and 98943?

We will first find the prime factorization of 98930 and 98943. After we will calculate the factors of 98930 and 98943 and find the biggest common factor number .

Step-1: Prime Factorization of 98930

Prime factors of 98930 are 2, 5, 13, 761. Prime factorization of 98930 in exponential form is:

98930 = 2¹ × 5¹ × 13¹ × 761¹

Step-2: Prime Factorization of 98943

Prime factors of 98943 are 3, 13, 43, 59. Prime factorization of 98943 in exponential form is:

98943 = 3¹ × 13¹ × 43¹ × 59¹

Step-3: Factors of 98930

List of positive integer factors of 98930 that divides 98930 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 761, 1522, 3805, 7610, 9893, 19786, 49465

Step-4: Factors of 98943

List of positive integer factors of 98943 that divides 98930 without a remainder.

1, 3, 13, 39, 43, 59, 129, 177, 559, 767, 1677, 2301, 2537, 7611, 32981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98930 and 98943. The biggest common factor number is the GCF number.
So the greatest common factor 98930 and 98943 is 13.

Also check out the Least Common Multiple of 98930 and 98943