What is the Greatest Common Factor of 98262 and 98276?

Greatest common factor (GCF) of 98262 and 98276 is 2.

GCF(98262,98276) = 2

We will now calculate the prime factors of 98262 and 98276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98262 and 98276.

How to find the GCF of 98262 and 98276?

We will first find the prime factorization of 98262 and 98276. After we will calculate the factors of 98262 and 98276 and find the biggest common factor number .

Step-1: Prime Factorization of 98262

Prime factors of 98262 are 2, 3, 53, 103. Prime factorization of 98262 in exponential form is:

98262 = 2¹ × 3² × 53¹ × 103¹

Step-2: Prime Factorization of 98276

Prime factors of 98276 are 2, 79, 311. Prime factorization of 98276 in exponential form is:

98276 = 2² × 79¹ × 311¹

Step-3: Factors of 98262

List of positive integer factors of 98262 that divides 98262 without a remainder.

1, 2, 3, 6, 9, 18, 53, 103, 106, 159, 206, 309, 318, 477, 618, 927, 954, 1854, 5459, 10918, 16377, 32754, 49131

Step-4: Factors of 98276

List of positive integer factors of 98276 that divides 98262 without a remainder.

1, 2, 4, 79, 158, 311, 316, 622, 1244, 24569, 49138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98262 and 98276. The biggest common factor number is the GCF number.
So the greatest common factor 98262 and 98276 is 2.

Also check out the Least Common Multiple of 98262 and 98276