What is the Greatest Common Factor of 98014 and 98033?

Greatest common factor (GCF) of 98014 and 98033 is 1.

GCF(98014,98033) = 1

We will now calculate the prime factors of 98014 and 98033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98014 and 98033.

How to find the GCF of 98014 and 98033?

We will first find the prime factorization of 98014 and 98033. After we will calculate the factors of 98014 and 98033 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 98033

Prime factors of 98033 are 13, 7541. Prime factorization of 98033 in exponential form is:

98033 = 13¹ × 7541¹

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 98033

List of positive integer factors of 98033 that divides 98014 without a remainder.

1, 13, 7541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98014 and 98033. The biggest common factor number is the GCF number.
So the greatest common factor 98014 and 98033 is 1.

Also check out the Least Common Multiple of 98014 and 98033