What is the Greatest Common Factor of 85415 and 85420?

Greatest common factor (GCF) of 85415 and 85420 is 5.

GCF(85415,85420) = 5

We will now calculate the prime factors of 85415 and 85420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85415 and 85420.

How to find the GCF of 85415 and 85420?

We will first find the prime factorization of 85415 and 85420. After we will calculate the factors of 85415 and 85420 and find the biggest common factor number .

Step-1: Prime Factorization of 85415

Prime factors of 85415 are 5, 11, 1553. Prime factorization of 85415 in exponential form is:

85415 = 5¹ × 11¹ × 1553¹

Step-2: 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-3: Factors of 85415

List of positive integer factors of 85415 that divides 85415 without a remainder.

1, 5, 11, 55, 1553, 7765, 17083

Step-4: Factors of 85420

List of positive integer factors of 85420 that divides 85415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85415 and 85420. The biggest common factor number is the GCF number.
So the greatest common factor 85415 and 85420 is 5.

Also check out the Least Common Multiple of 85415 and 85420