What is the Greatest Common Factor of 98614 and 98634?

Greatest common factor (GCF) of 98614 and 98634 is 2.

GCF(98614,98634) = 2

We will now calculate the prime factors of 98614 and 98634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98614 and 98634.

How to find the GCF of 98614 and 98634?

We will first find the prime factorization of 98614 and 98634. After we will calculate the factors of 98614 and 98634 and find the biggest common factor number .

Step-1: Prime Factorization of 98614

Prime factors of 98614 are 2, 49307. Prime factorization of 98614 in exponential form is:

98614 = 2¹ × 49307¹

Step-2: Prime Factorization of 98634

Prime factors of 98634 are 2, 3, 17, 967. Prime factorization of 98634 in exponential form is:

98634 = 2¹ × 3¹ × 17¹ × 967¹

Step-3: Factors of 98614

List of positive integer factors of 98614 that divides 98614 without a remainder.

1, 2, 49307

Step-4: Factors of 98634

List of positive integer factors of 98634 that divides 98614 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 967, 1934, 2901, 5802, 16439, 32878, 49317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98614 and 98634. The biggest common factor number is the GCF number.
So the greatest common factor 98614 and 98634 is 2.

Also check out the Least Common Multiple of 98614 and 98634