What is the Greatest Common Factor of 85004 and 85010?

Greatest common factor (GCF) of 85004 and 85010 is 2.

GCF(85004,85010) = 2

We will now calculate the prime factors of 85004 and 85010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85004 and 85010.

How to find the GCF of 85004 and 85010?

We will first find the prime factorization of 85004 and 85010. After we will calculate the factors of 85004 and 85010 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85010

Prime factors of 85010 are 2, 5, 8501. Prime factorization of 85010 in exponential form is:

85010 = 2¹ × 5¹ × 8501¹

Step-3: Factors of 85004

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

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

Step-4: Factors of 85010

List of positive integer factors of 85010 that divides 85004 without a remainder.

1, 2, 5, 10, 8501, 17002, 42505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85004 and 85010. The biggest common factor number is the GCF number.
So the greatest common factor 85004 and 85010 is 2.

Also check out the Least Common Multiple of 85004 and 85010