What is the Greatest Common Factor of 98592 and 98612?

Greatest common factor (GCF) of 98592 and 98612 is 4.

GCF(98592,98612) = 4

We will now calculate the prime factors of 98592 and 98612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98592 and 98612.

How to find the GCF of 98592 and 98612?

We will first find the prime factorization of 98592 and 98612. After we will calculate the factors of 98592 and 98612 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 98612

Prime factors of 98612 are 2, 89, 277. Prime factorization of 98612 in exponential form is:

98612 = 2² × 89¹ × 277¹

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 98612

List of positive integer factors of 98612 that divides 98592 without a remainder.

1, 2, 4, 89, 178, 277, 356, 554, 1108, 24653, 49306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98592 and 98612. The biggest common factor number is the GCF number.
So the greatest common factor 98592 and 98612 is 4.

Also check out the Least Common Multiple of 98592 and 98612