What is the Greatest Common Factor of 98014 and 98021?

Greatest common factor (GCF) of 98014 and 98021 is 7.

GCF(98014,98021) = 7

We will now calculate the prime factors of 98014 and 98021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98014 and 98021.

How to find the GCF of 98014 and 98021?

We will first find the prime factorization of 98014 and 98021. After we will calculate the factors of 98014 and 98021 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98021

Prime factors of 98021 are 7, 11, 19, 67. Prime factorization of 98021 in exponential form is:

98021 = 7¹ × 11¹ × 19¹ × 67¹

Step-3: Factors of 98014

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

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

Step-4: Factors of 98021

List of positive integer factors of 98021 that divides 98014 without a remainder.

1, 7, 11, 19, 67, 77, 133, 209, 469, 737, 1273, 1463, 5159, 8911, 14003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98014 and 98021. The biggest common factor number is the GCF number.
So the greatest common factor 98014 and 98021 is 7.

Also check out the Least Common Multiple of 98014 and 98021