What is the Greatest Common Factor of 98761 and 98774?

Greatest common factor (GCF) of 98761 and 98774 is 13.

GCF(98761,98774) = 13

We will now calculate the prime factors of 98761 and 98774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98761 and 98774.

How to find the GCF of 98761 and 98774?

We will first find the prime factorization of 98761 and 98774. After we will calculate the factors of 98761 and 98774 and find the biggest common factor number .

Step-1: Prime Factorization of 98761

Prime factors of 98761 are 13, 71, 107. Prime factorization of 98761 in exponential form is:

98761 = 13¹ × 71¹ × 107¹

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 98761

List of positive integer factors of 98761 that divides 98761 without a remainder.

1, 13, 71, 107, 923, 1391, 7597

Step-4: Factors of 98774

List of positive integer factors of 98774 that divides 98761 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 98761 and 98774. The biggest common factor number is the GCF number.
So the greatest common factor 98761 and 98774 is 13.

Also check out the Least Common Multiple of 98761 and 98774