What is the Greatest Common Factor of 98084 and 98101?

Greatest common factor (GCF) of 98084 and 98101 is 1.

GCF(98084,98101) = 1

We will now calculate the prime factors of 98084 and 98101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98084 and 98101.

How to find the GCF of 98084 and 98101?

We will first find the prime factorization of 98084 and 98101. After we will calculate the factors of 98084 and 98101 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 98101

Prime factors of 98101 are 98101. Prime factorization of 98101 in exponential form is:

98101 = 98101¹

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 98101

List of positive integer factors of 98101 that divides 98084 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98084 and 98101. The biggest common factor number is the GCF number.
So the greatest common factor 98084 and 98101 is 1.

Also check out the Least Common Multiple of 98084 and 98101