What is the Greatest Common Factor of 98982 and 99002?

Greatest common factor (GCF) of 98982 and 99002 is 2.

GCF(98982,99002) = 2

We will now calculate the prime factors of 98982 and 99002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98982 and 99002.

How to find the GCF of 98982 and 99002?

We will first find the prime factorization of 98982 and 99002. After we will calculate the factors of 98982 and 99002 and find the biggest common factor number .

Step-1: Prime Factorization of 98982

Prime factors of 98982 are 2, 3, 13, 47. Prime factorization of 98982 in exponential form is:

98982 = 2¹ × 3⁴ × 13¹ × 47¹

Step-2: Prime Factorization of 99002

Prime factors of 99002 are 2, 59, 839. Prime factorization of 99002 in exponential form is:

99002 = 2¹ × 59¹ × 839¹

Step-3: Factors of 98982

List of positive integer factors of 98982 that divides 98982 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 81, 94, 117, 141, 162, 234, 282, 351, 423, 611, 702, 846, 1053, 1222, 1269, 1833, 2106, 2538, 3666, 3807, 5499, 7614, 10998, 16497, 32994, 49491

Step-4: Factors of 99002

List of positive integer factors of 99002 that divides 98982 without a remainder.

1, 2, 59, 118, 839, 1678, 49501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98982 and 99002. The biggest common factor number is the GCF number.
So the greatest common factor 98982 and 99002 is 2.

Also check out the Least Common Multiple of 98982 and 99002