What is the Greatest Common Factor of 98592 and 98601?

Greatest common factor (GCF) of 98592 and 98601 is 3.

GCF(98592,98601) = 3

We will now calculate the prime factors of 98592 and 98601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98592 and 98601.

How to find the GCF of 98592 and 98601?

We will first find the prime factorization of 98592 and 98601. After we will calculate the factors of 98592 and 98601 and find the biggest common factor number .

Step-1: Prime Factorization of 98592

Prime factors of 98592 are 2, 3, 13, 79. Prime factorization of 98592 in exponential form is:

98592 = 2⁵ × 3¹ × 13¹ × 79¹

Step-2: Prime Factorization of 98601

Prime factors of 98601 are 3, 23, 1429. Prime factorization of 98601 in exponential form is:

98601 = 3¹ × 23¹ × 1429¹

Step-3: Factors of 98592

List of positive integer factors of 98592 that divides 98592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 79, 96, 104, 156, 158, 208, 237, 312, 316, 416, 474, 624, 632, 948, 1027, 1248, 1264, 1896, 2054, 2528, 3081, 3792, 4108, 6162, 7584, 8216, 12324, 16432, 24648, 32864, 49296

Step-4: Factors of 98601

List of positive integer factors of 98601 that divides 98592 without a remainder.

1, 3, 23, 69, 1429, 4287, 32867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98592 and 98601. The biggest common factor number is the GCF number.
So the greatest common factor 98592 and 98601 is 3.

Also check out the Least Common Multiple of 98592 and 98601