What is the Greatest Common Factor of 98768 and 98774?

Greatest common factor (GCF) of 98768 and 98774 is 2.

GCF(98768,98774) = 2

We will now calculate the prime factors of 98768 and 98774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98768 and 98774.

How to find the GCF of 98768 and 98774?

We will first find the prime factorization of 98768 and 98774. After we will calculate the factors of 98768 and 98774 and find the biggest common factor number .

Step-1: Prime Factorization of 98768

Prime factors of 98768 are 2, 6173. Prime factorization of 98768 in exponential form is:

98768 = 2⁴ × 6173¹

Step-2: Prime Factorization of 98774

Prime factors of 98774 are 2, 13, 29, 131. Prime factorization of 98774 in exponential form is:

98774 = 2¹ × 13¹ × 29¹ × 131¹

Step-3: Factors of 98768

List of positive integer factors of 98768 that divides 98768 without a remainder.

1, 2, 4, 8, 16, 6173, 12346, 24692, 49384

Step-4: Factors of 98774

List of positive integer factors of 98774 that divides 98768 without a remainder.

1, 2, 13, 26, 29, 58, 131, 262, 377, 754, 1703, 3406, 3799, 7598, 49387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98768 and 98774. The biggest common factor number is the GCF number.
So the greatest common factor 98768 and 98774 is 2.

Also check out the Least Common Multiple of 98768 and 98774