What is the Greatest Common Factor of 98674 and 98694?

Greatest common factor (GCF) of 98674 and 98694 is 2.

GCF(98674,98694) = 2

We will now calculate the prime factors of 98674 and 98694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98674 and 98694.

How to find the GCF of 98674 and 98694?

We will first find the prime factorization of 98674 and 98694. After we will calculate the factors of 98674 and 98694 and find the biggest common factor number .

Step-1: Prime Factorization of 98674

Prime factors of 98674 are 2, 103, 479. Prime factorization of 98674 in exponential form is:

98674 = 2¹ × 103¹ × 479¹

Step-2: Prime Factorization of 98694

Prime factors of 98694 are 2, 3, 5483. Prime factorization of 98694 in exponential form is:

98694 = 2¹ × 3² × 5483¹

Step-3: Factors of 98674

List of positive integer factors of 98674 that divides 98674 without a remainder.

1, 2, 103, 206, 479, 958, 49337

Step-4: Factors of 98694

List of positive integer factors of 98694 that divides 98674 without a remainder.

1, 2, 3, 6, 9, 18, 5483, 10966, 16449, 32898, 49347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98674 and 98694. The biggest common factor number is the GCF number.
So the greatest common factor 98674 and 98694 is 2.

Also check out the Least Common Multiple of 98674 and 98694