What is the Greatest Common Factor of 85420 and 85430?

Greatest common factor (GCF) of 85420 and 85430 is 10.

GCF(85420,85430) = 10

We will now calculate the prime factors of 85420 and 85430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85420 and 85430.

How to find the GCF of 85420 and 85430?

We will first find the prime factorization of 85420 and 85430. After we will calculate the factors of 85420 and 85430 and find the biggest common factor number .

Step-1: Prime Factorization of 85420

Prime factors of 85420 are 2, 5, 4271. Prime factorization of 85420 in exponential form is:

85420 = 2² × 5¹ × 4271¹

Step-2: Prime Factorization of 85430

Prime factors of 85430 are 2, 5, 8543. Prime factorization of 85430 in exponential form is:

85430 = 2¹ × 5¹ × 8543¹

Step-3: Factors of 85420

List of positive integer factors of 85420 that divides 85420 without a remainder.

1, 2, 4, 5, 10, 20, 4271, 8542, 17084, 21355, 42710

Step-4: Factors of 85430

List of positive integer factors of 85430 that divides 85420 without a remainder.

1, 2, 5, 10, 8543, 17086, 42715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85420 and 85430. The biggest common factor number is the GCF number.
So the greatest common factor 85420 and 85430 is 10.

Also check out the Least Common Multiple of 85420 and 85430