What is the Greatest Common Factor of 98392 and 98408?

Greatest common factor (GCF) of 98392 and 98408 is 8.

GCF(98392,98408) = 8

We will now calculate the prime factors of 98392 and 98408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98392 and 98408.

How to find the GCF of 98392 and 98408?

We will first find the prime factorization of 98392 and 98408. After we will calculate the factors of 98392 and 98408 and find the biggest common factor number .

Step-1: Prime Factorization of 98392

Prime factors of 98392 are 2, 7, 251. Prime factorization of 98392 in exponential form is:

98392 = 2³ × 7² × 251¹

Step-2: Prime Factorization of 98408

Prime factors of 98408 are 2, 12301. Prime factorization of 98408 in exponential form is:

98408 = 2³ × 12301¹

Step-3: Factors of 98392

List of positive integer factors of 98392 that divides 98392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 251, 392, 502, 1004, 1757, 2008, 3514, 7028, 12299, 14056, 24598, 49196

Step-4: Factors of 98408

List of positive integer factors of 98408 that divides 98392 without a remainder.

1, 2, 4, 8, 12301, 24602, 49204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98392 and 98408. The biggest common factor number is the GCF number.
So the greatest common factor 98392 and 98408 is 8.

Also check out the Least Common Multiple of 98392 and 98408