What is the Greatest Common Factor of 98084 and 98098?

Greatest common factor (GCF) of 98084 and 98098 is 14.

GCF(98084,98098) = 14

We will now calculate the prime factors of 98084 and 98098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98084 and 98098.

How to find the GCF of 98084 and 98098?

We will first find the prime factorization of 98084 and 98098. After we will calculate the factors of 98084 and 98098 and find the biggest common factor number .

Step-1: Prime Factorization of 98084

Prime factors of 98084 are 2, 7, 31, 113. Prime factorization of 98084 in exponential form is:

98084 = 2² × 7¹ × 31¹ × 113¹

Step-2: Prime Factorization of 98098

Prime factors of 98098 are 2, 7, 11, 13. Prime factorization of 98098 in exponential form is:

98098 = 2¹ × 7³ × 11¹ × 13¹

Step-3: Factors of 98084

List of positive integer factors of 98084 that divides 98084 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 113, 124, 217, 226, 434, 452, 791, 868, 1582, 3164, 3503, 7006, 14012, 24521, 49042

Step-4: Factors of 98098

List of positive integer factors of 98098 that divides 98084 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 49, 77, 91, 98, 143, 154, 182, 286, 343, 539, 637, 686, 1001, 1078, 1274, 2002, 3773, 4459, 7007, 7546, 8918, 14014, 49049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98084 and 98098. The biggest common factor number is the GCF number.
So the greatest common factor 98084 and 98098 is 14.

Also check out the Least Common Multiple of 98084 and 98098