What is the Greatest Common Factor of 98029 and 98043?

Greatest common factor (GCF) of 98029 and 98043 is 1.

GCF(98029,98043) = 1

We will now calculate the prime factors of 98029 and 98043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98029 and 98043.

How to find the GCF of 98029 and 98043?

We will first find the prime factorization of 98029 and 98043. After we will calculate the factors of 98029 and 98043 and find the biggest common factor number .

Step-1: Prime Factorization of 98029

Prime factors of 98029 are 167, 587. Prime factorization of 98029 in exponential form is:

98029 = 167¹ × 587¹

Step-2: Prime Factorization of 98043

Prime factors of 98043 are 3, 11, 2971. Prime factorization of 98043 in exponential form is:

98043 = 3¹ × 11¹ × 2971¹

Step-3: Factors of 98029

List of positive integer factors of 98029 that divides 98029 without a remainder.

1, 167, 587

Step-4: Factors of 98043

List of positive integer factors of 98043 that divides 98029 without a remainder.

1, 3, 11, 33, 2971, 8913, 32681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98029 and 98043. The biggest common factor number is the GCF number.
So the greatest common factor 98029 and 98043 is 1.

Also check out the Least Common Multiple of 98029 and 98043