What is the Greatest Common Factor of 82993 and 82998?

Greatest common factor (GCF) of 82993 and 82998 is 1.

GCF(82993,82998) = 1

We will now calculate the prime factors of 82993 and 82998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82993 and 82998.

How to find the GCF of 82993 and 82998?

We will first find the prime factorization of 82993 and 82998. After we will calculate the factors of 82993 and 82998 and find the biggest common factor number .

Step-1: Prime Factorization of 82993

Prime factors of 82993 are 149, 557. Prime factorization of 82993 in exponential form is:

82993 = 149¹ × 557¹

Step-2: Prime Factorization of 82998

Prime factors of 82998 are 2, 3, 29, 53. Prime factorization of 82998 in exponential form is:

82998 = 2¹ × 3³ × 29¹ × 53¹

Step-3: Factors of 82993

List of positive integer factors of 82993 that divides 82993 without a remainder.

1, 149, 557

Step-4: Factors of 82998

List of positive integer factors of 82998 that divides 82993 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 53, 54, 58, 87, 106, 159, 174, 261, 318, 477, 522, 783, 954, 1431, 1537, 1566, 2862, 3074, 4611, 9222, 13833, 27666, 41499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82993 and 82998. The biggest common factor number is the GCF number.
So the greatest common factor 82993 and 82998 is 1.

Also check out the Least Common Multiple of 82993 and 82998