What is the Greatest Common Factor of 98556 and 98572?

Greatest common factor (GCF) of 98556 and 98572 is 4.

GCF(98556,98572) = 4

We will now calculate the prime factors of 98556 and 98572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98556 and 98572.

How to find the GCF of 98556 and 98572?

We will first find the prime factorization of 98556 and 98572. After we will calculate the factors of 98556 and 98572 and find the biggest common factor number .

Step-1: Prime Factorization of 98556

Prime factors of 98556 are 2, 3, 43, 191. Prime factorization of 98556 in exponential form is:

98556 = 2² × 3¹ × 43¹ × 191¹

Step-2: Prime Factorization of 98572

Prime factors of 98572 are 2, 19, 1297. Prime factorization of 98572 in exponential form is:

98572 = 2² × 19¹ × 1297¹

Step-3: Factors of 98556

List of positive integer factors of 98556 that divides 98556 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 191, 258, 382, 516, 573, 764, 1146, 2292, 8213, 16426, 24639, 32852, 49278

Step-4: Factors of 98572

List of positive integer factors of 98572 that divides 98556 without a remainder.

1, 2, 4, 19, 38, 76, 1297, 2594, 5188, 24643, 49286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98556 and 98572. The biggest common factor number is the GCF number.
So the greatest common factor 98556 and 98572 is 4.

Also check out the Least Common Multiple of 98556 and 98572