What is the Greatest Common Factor of 98458 and 98477?

Greatest common factor (GCF) of 98458 and 98477 is 19.

GCF(98458,98477) = 19

We will now calculate the prime factors of 98458 and 98477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98458 and 98477.

How to find the GCF of 98458 and 98477?

We will first find the prime factorization of 98458 and 98477. After we will calculate the factors of 98458 and 98477 and find the biggest common factor number .

Step-1: Prime Factorization of 98458

Prime factors of 98458 are 2, 19, 2591. Prime factorization of 98458 in exponential form is:

98458 = 2¹ × 19¹ × 2591¹

Step-2: Prime Factorization of 98477

Prime factors of 98477 are 19, 71, 73. Prime factorization of 98477 in exponential form is:

98477 = 19¹ × 71¹ × 73¹

Step-3: Factors of 98458

List of positive integer factors of 98458 that divides 98458 without a remainder.

1, 2, 19, 38, 2591, 5182, 49229

Step-4: Factors of 98477

List of positive integer factors of 98477 that divides 98458 without a remainder.

1, 19, 71, 73, 1349, 1387, 5183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98458 and 98477. The biggest common factor number is the GCF number.
So the greatest common factor 98458 and 98477 is 19.

Also check out the Least Common Multiple of 98458 and 98477