What is the Greatest Common Factor of 98084 and 98102?

Greatest common factor (GCF) of 98084 and 98102 is 2.

GCF(98084,98102) = 2

We will now calculate the prime factors of 98084 and 98102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98084 and 98102.

How to find the GCF of 98084 and 98102?

We will first find the prime factorization of 98084 and 98102. After we will calculate the factors of 98084 and 98102 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 98102

Prime factors of 98102 are 2, 181, 271. Prime factorization of 98102 in exponential form is:

98102 = 2¹ × 181¹ × 271¹

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 98102

List of positive integer factors of 98102 that divides 98084 without a remainder.

1, 2, 181, 271, 362, 542, 49051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98084 and 98102. The biggest common factor number is the GCF number.
So the greatest common factor 98084 and 98102 is 2.

Also check out the Least Common Multiple of 98084 and 98102