What is the Greatest Common Factor of 98774 and 98790?

Greatest common factor (GCF) of 98774 and 98790 is 2.

GCF(98774,98790) = 2

We will now calculate the prime factors of 98774 and 98790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98774 and 98790.

How to find the GCF of 98774 and 98790?

We will first find the prime factorization of 98774 and 98790. After we will calculate the factors of 98774 and 98790 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 98790

Prime factors of 98790 are 2, 3, 5, 37, 89. Prime factorization of 98790 in exponential form is:

98790 = 2¹ × 3¹ × 5¹ × 37¹ × 89¹

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 98790

List of positive integer factors of 98790 that divides 98774 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 89, 111, 178, 185, 222, 267, 370, 445, 534, 555, 890, 1110, 1335, 2670, 3293, 6586, 9879, 16465, 19758, 32930, 49395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98774 and 98790. The biggest common factor number is the GCF number.
So the greatest common factor 98774 and 98790 is 2.

Also check out the Least Common Multiple of 98774 and 98790