What is the Greatest Common Factor of 98084 and 98103?

Greatest common factor (GCF) of 98084 and 98103 is 1.

GCF(98084,98103) = 1

We will now calculate the prime factors of 98084 and 98103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98084 and 98103.

How to find the GCF of 98084 and 98103?

We will first find the prime factorization of 98084 and 98103. After we will calculate the factors of 98084 and 98103 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 98103

Prime factors of 98103 are 3, 53, 617. Prime factorization of 98103 in exponential form is:

98103 = 3¹ × 53¹ × 617¹

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 98103

List of positive integer factors of 98103 that divides 98084 without a remainder.

1, 3, 53, 159, 617, 1851, 32701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98084 and 98103. The biggest common factor number is the GCF number.
So the greatest common factor 98084 and 98103 is 1.

Also check out the Least Common Multiple of 98084 and 98103