What is the Greatest Common Factor of 85368 and 85388?

Greatest common factor (GCF) of 85368 and 85388 is 4.

GCF(85368,85388) = 4

We will now calculate the prime factors of 85368 and 85388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85368 and 85388.

How to find the GCF of 85368 and 85388?

We will first find the prime factorization of 85368 and 85388. After we will calculate the factors of 85368 and 85388 and find the biggest common factor number .

Step-1: Prime Factorization of 85368

Prime factors of 85368 are 2, 3, 3557. Prime factorization of 85368 in exponential form is:

85368 = 2³ × 3¹ × 3557¹

Step-2: Prime Factorization of 85388

Prime factors of 85388 are 2, 21347. Prime factorization of 85388 in exponential form is:

85388 = 2² × 21347¹

Step-3: Factors of 85368

List of positive integer factors of 85368 that divides 85368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3557, 7114, 10671, 14228, 21342, 28456, 42684

Step-4: Factors of 85388

List of positive integer factors of 85388 that divides 85368 without a remainder.

1, 2, 4, 21347, 42694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85368 and 85388. The biggest common factor number is the GCF number.
So the greatest common factor 85368 and 85388 is 4.

Also check out the Least Common Multiple of 85368 and 85388