What is the Greatest Common Factor of 85002 and 85021?

Greatest common factor (GCF) of 85002 and 85021 is 1.

GCF(85002,85021) = 1

We will now calculate the prime factors of 85002 and 85021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85002 and 85021.

How to find the GCF of 85002 and 85021?

We will first find the prime factorization of 85002 and 85021. After we will calculate the factors of 85002 and 85021 and find the biggest common factor number .

Step-1: Prime Factorization of 85002

Prime factors of 85002 are 2, 3, 31, 457. Prime factorization of 85002 in exponential form is:

85002 = 2¹ × 3¹ × 31¹ × 457¹

Step-2: Prime Factorization of 85021

Prime factors of 85021 are 85021. Prime factorization of 85021 in exponential form is:

85021 = 85021¹

Step-3: Factors of 85002

List of positive integer factors of 85002 that divides 85002 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 457, 914, 1371, 2742, 14167, 28334, 42501

Step-4: Factors of 85021

List of positive integer factors of 85021 that divides 85002 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85002 and 85021. The biggest common factor number is the GCF number.
So the greatest common factor 85002 and 85021 is 1.

Also check out the Least Common Multiple of 85002 and 85021