What is the Greatest Common Factor of 85370 and 85390?

Greatest common factor (GCF) of 85370 and 85390 is 10.

GCF(85370,85390) = 10

We will now calculate the prime factors of 85370 and 85390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85370 and 85390.

How to find the GCF of 85370 and 85390?

We will first find the prime factorization of 85370 and 85390. After we will calculate the factors of 85370 and 85390 and find the biggest common factor number .

Step-1: Prime Factorization of 85370

Prime factors of 85370 are 2, 5, 8537. Prime factorization of 85370 in exponential form is:

85370 = 2¹ × 5¹ × 8537¹

Step-2: Prime Factorization of 85390

Prime factors of 85390 are 2, 5, 8539. Prime factorization of 85390 in exponential form is:

85390 = 2¹ × 5¹ × 8539¹

Step-3: Factors of 85370

List of positive integer factors of 85370 that divides 85370 without a remainder.

1, 2, 5, 10, 8537, 17074, 42685

Step-4: Factors of 85390

List of positive integer factors of 85390 that divides 85370 without a remainder.

1, 2, 5, 10, 8539, 17078, 42695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85370 and 85390. The biggest common factor number is the GCF number.
So the greatest common factor 85370 and 85390 is 10.

Also check out the Least Common Multiple of 85370 and 85390