What is the Greatest Common Factor of 84998 and 85004?

Greatest common factor (GCF) of 84998 and 85004 is 2.

GCF(84998,85004) = 2

We will now calculate the prime factors of 84998 and 85004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84998 and 85004.

How to find the GCF of 84998 and 85004?

We will first find the prime factorization of 84998 and 85004. After we will calculate the factors of 84998 and 85004 and find the biggest common factor number .

Step-1: Prime Factorization of 84998

Prime factors of 84998 are 2, 42499. Prime factorization of 84998 in exponential form is:

84998 = 2¹ × 42499¹

Step-2: Prime Factorization of 85004

Prime factors of 85004 are 2, 79, 269. Prime factorization of 85004 in exponential form is:

85004 = 2² × 79¹ × 269¹

Step-3: Factors of 84998

List of positive integer factors of 84998 that divides 84998 without a remainder.

1, 2, 42499

Step-4: Factors of 85004

List of positive integer factors of 85004 that divides 84998 without a remainder.

1, 2, 4, 79, 158, 269, 316, 538, 1076, 21251, 42502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84998 and 85004. The biggest common factor number is the GCF number.
So the greatest common factor 84998 and 85004 is 2.

Also check out the Least Common Multiple of 84998 and 85004