What is the Greatest Common Factor of 98574 and 98583?

Greatest common factor (GCF) of 98574 and 98583 is 3.

GCF(98574,98583) = 3

We will now calculate the prime factors of 98574 and 98583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98574 and 98583.

How to find the GCF of 98574 and 98583?

We will first find the prime factorization of 98574 and 98583. After we will calculate the factors of 98574 and 98583 and find the biggest common factor number .

Step-1: Prime Factorization of 98574

Prime factors of 98574 are 2, 3, 7, 2347. Prime factorization of 98574 in exponential form is:

98574 = 2¹ × 3¹ × 7¹ × 2347¹

Step-2: Prime Factorization of 98583

Prime factors of 98583 are 3, 17, 1933. Prime factorization of 98583 in exponential form is:

98583 = 3¹ × 17¹ × 1933¹

Step-3: Factors of 98574

List of positive integer factors of 98574 that divides 98574 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2347, 4694, 7041, 14082, 16429, 32858, 49287

Step-4: Factors of 98583

List of positive integer factors of 98583 that divides 98574 without a remainder.

1, 3, 17, 51, 1933, 5799, 32861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98574 and 98583. The biggest common factor number is the GCF number.
So the greatest common factor 98574 and 98583 is 3.

Also check out the Least Common Multiple of 98574 and 98583