What is the Greatest Common Factor of 98274 and 98278?

Greatest common factor (GCF) of 98274 and 98278 is 2.

GCF(98274,98278) = 2

We will now calculate the prime factors of 98274 and 98278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98274 and 98278.

How to find the GCF of 98274 and 98278?

We will first find the prime factorization of 98274 and 98278. After we will calculate the factors of 98274 and 98278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98278

Prime factors of 98278 are 2, 49139. Prime factorization of 98278 in exponential form is:

98278 = 2¹ × 49139¹

Step-3: Factors of 98274

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

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

Step-4: Factors of 98278

List of positive integer factors of 98278 that divides 98274 without a remainder.

1, 2, 49139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98274 and 98278. The biggest common factor number is the GCF number.
So the greatest common factor 98274 and 98278 is 2.

Also check out the Least Common Multiple of 98274 and 98278