What is the Greatest Common Factor of 98450 and 98458?

Greatest common factor (GCF) of 98450 and 98458 is 2.

GCF(98450,98458) = 2

We will now calculate the prime factors of 98450 and 98458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98450 and 98458.

How to find the GCF of 98450 and 98458?

We will first find the prime factorization of 98450 and 98458. After we will calculate the factors of 98450 and 98458 and find the biggest common factor number .

Step-1: Prime Factorization of 98450

Prime factors of 98450 are 2, 5, 11, 179. Prime factorization of 98450 in exponential form is:

98450 = 2¹ × 5² × 11¹ × 179¹

Step-2: 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-3: Factors of 98450

List of positive integer factors of 98450 that divides 98450 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 179, 275, 358, 550, 895, 1790, 1969, 3938, 4475, 8950, 9845, 19690, 49225

Step-4: Factors of 98458

List of positive integer factors of 98458 that divides 98450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98450 and 98458. The biggest common factor number is the GCF number.
So the greatest common factor 98450 and 98458 is 2.

Also check out the Least Common Multiple of 98450 and 98458