What is the Greatest Common Factor of 98078 and 98097?

Greatest common factor (GCF) of 98078 and 98097 is 19.

GCF(98078,98097) = 19

We will now calculate the prime factors of 98078 and 98097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98078 and 98097.

How to find the GCF of 98078 and 98097?

We will first find the prime factorization of 98078 and 98097. After we will calculate the factors of 98078 and 98097 and find the biggest common factor number .

Step-1: Prime Factorization of 98078

Prime factors of 98078 are 2, 19, 29, 89. Prime factorization of 98078 in exponential form is:

98078 = 2¹ × 19¹ × 29¹ × 89¹

Step-2: Prime Factorization of 98097

Prime factors of 98097 are 3, 19, 1721. Prime factorization of 98097 in exponential form is:

98097 = 3¹ × 19¹ × 1721¹

Step-3: Factors of 98078

List of positive integer factors of 98078 that divides 98078 without a remainder.

1, 2, 19, 29, 38, 58, 89, 178, 551, 1102, 1691, 2581, 3382, 5162, 49039

Step-4: Factors of 98097

List of positive integer factors of 98097 that divides 98078 without a remainder.

1, 3, 19, 57, 1721, 5163, 32699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98078 and 98097. The biggest common factor number is the GCF number.
So the greatest common factor 98078 and 98097 is 19.

Also check out the Least Common Multiple of 98078 and 98097