What is the Greatest Common Factor of 98996 and 99014?

Greatest common factor (GCF) of 98996 and 99014 is 2.

GCF(98996,99014) = 2

We will now calculate the prime factors of 98996 and 99014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98996 and 99014.

How to find the GCF of 98996 and 99014?

We will first find the prime factorization of 98996 and 99014. After we will calculate the factors of 98996 and 99014 and find the biggest common factor number .

Step-1: Prime Factorization of 98996

Prime factors of 98996 are 2, 24749. Prime factorization of 98996 in exponential form is:

98996 = 2² × 24749¹

Step-2: Prime Factorization of 99014

Prime factors of 99014 are 2, 31, 1597. Prime factorization of 99014 in exponential form is:

99014 = 2¹ × 31¹ × 1597¹

Step-3: Factors of 98996

List of positive integer factors of 98996 that divides 98996 without a remainder.

1, 2, 4, 24749, 49498

Step-4: Factors of 99014

List of positive integer factors of 99014 that divides 98996 without a remainder.

1, 2, 31, 62, 1597, 3194, 49507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98996 and 99014. The biggest common factor number is the GCF number.
So the greatest common factor 98996 and 99014 is 2.

Also check out the Least Common Multiple of 98996 and 99014