What is the Greatest Common Factor of 98638 and 98654?

Greatest common factor (GCF) of 98638 and 98654 is 2.

GCF(98638,98654) = 2

We will now calculate the prime factors of 98638 and 98654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98638 and 98654.

How to find the GCF of 98638 and 98654?

We will first find the prime factorization of 98638 and 98654. After we will calculate the factors of 98638 and 98654 and find the biggest common factor number .

Step-1: Prime Factorization of 98638

Prime factors of 98638 are 2, 149, 331. Prime factorization of 98638 in exponential form is:

98638 = 2¹ × 149¹ × 331¹

Step-2: Prime Factorization of 98654

Prime factors of 98654 are 2, 107, 461. Prime factorization of 98654 in exponential form is:

98654 = 2¹ × 107¹ × 461¹

Step-3: Factors of 98638

List of positive integer factors of 98638 that divides 98638 without a remainder.

1, 2, 149, 298, 331, 662, 49319

Step-4: Factors of 98654

List of positive integer factors of 98654 that divides 98638 without a remainder.

1, 2, 107, 214, 461, 922, 49327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98638 and 98654. The biggest common factor number is the GCF number.
So the greatest common factor 98638 and 98654 is 2.

Also check out the Least Common Multiple of 98638 and 98654