What is the Greatest Common Factor of 98774 and 98787?

Greatest common factor (GCF) of 98774 and 98787 is 13.

GCF(98774,98787) = 13

We will now calculate the prime factors of 98774 and 98787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98774 and 98787.

How to find the GCF of 98774 and 98787?

We will first find the prime factorization of 98774 and 98787. After we will calculate the factors of 98774 and 98787 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98787

Prime factors of 98787 are 3, 13, 17, 149. Prime factorization of 98787 in exponential form is:

98787 = 3¹ × 13¹ × 17¹ × 149¹

Step-3: Factors of 98774

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

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

Step-4: Factors of 98787

List of positive integer factors of 98787 that divides 98774 without a remainder.

1, 3, 13, 17, 39, 51, 149, 221, 447, 663, 1937, 2533, 5811, 7599, 32929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98774 and 98787. The biggest common factor number is the GCF number.
So the greatest common factor 98774 and 98787 is 13.

Also check out the Least Common Multiple of 98774 and 98787