What is the Greatest Common Factor of 98266 and 98274?

Greatest common factor (GCF) of 98266 and 98274 is 2.

GCF(98266,98274) = 2

We will now calculate the prime factors of 98266 and 98274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98266 and 98274.

How to find the GCF of 98266 and 98274?

We will first find the prime factorization of 98266 and 98274. After we will calculate the factors of 98266 and 98274 and find the biggest common factor number .

Step-1: Prime Factorization of 98266

Prime factors of 98266 are 2, 7, 7019. Prime factorization of 98266 in exponential form is:

98266 = 2¹ × 7¹ × 7019¹

Step-2: Prime Factorization of 98274

Prime factors of 98274 are 2, 3, 11, 1489. Prime factorization of 98274 in exponential form is:

98274 = 2¹ × 3¹ × 11¹ × 1489¹

Step-3: Factors of 98266

List of positive integer factors of 98266 that divides 98266 without a remainder.

1, 2, 7, 14, 7019, 14038, 49133

Step-4: Factors of 98274

List of positive integer factors of 98274 that divides 98266 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1489, 2978, 4467, 8934, 16379, 32758, 49137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98266 and 98274. The biggest common factor number is the GCF number.
So the greatest common factor 98266 and 98274 is 2.

Also check out the Least Common Multiple of 98266 and 98274