What is the Greatest Common Factor of 98007 and 98014?

Greatest common factor (GCF) of 98007 and 98014 is 7.

GCF(98007,98014) = 7

We will now calculate the prime factors of 98007 and 98014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98007 and 98014.

How to find the GCF of 98007 and 98014?

We will first find the prime factorization of 98007 and 98014. After we will calculate the factors of 98007 and 98014 and find the biggest common factor number .

Step-1: Prime Factorization of 98007

Prime factors of 98007 are 3, 7, 13, 359. Prime factorization of 98007 in exponential form is:

98007 = 3¹ × 7¹ × 13¹ × 359¹

Step-2: Prime Factorization of 98014

Prime factors of 98014 are 2, 7, 7001. Prime factorization of 98014 in exponential form is:

98014 = 2¹ × 7¹ × 7001¹

Step-3: Factors of 98007

List of positive integer factors of 98007 that divides 98007 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 359, 1077, 2513, 4667, 7539, 14001, 32669

Step-4: Factors of 98014

List of positive integer factors of 98014 that divides 98007 without a remainder.

1, 2, 7, 14, 7001, 14002, 49007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98007 and 98014. The biggest common factor number is the GCF number.
So the greatest common factor 98007 and 98014 is 7.

Also check out the Least Common Multiple of 98007 and 98014