What is the Greatest Common Factor of 85142 and 85160?

Greatest common factor (GCF) of 85142 and 85160 is 2.

GCF(85142,85160) = 2

We will now calculate the prime factors of 85142 and 85160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85142 and 85160.

How to find the GCF of 85142 and 85160?

We will first find the prime factorization of 85142 and 85160. After we will calculate the factors of 85142 and 85160 and find the biggest common factor number .

Step-1: Prime Factorization of 85142

Prime factors of 85142 are 2, 42571. Prime factorization of 85142 in exponential form is:

85142 = 2¹ × 42571¹

Step-2: Prime Factorization of 85160

Prime factors of 85160 are 2, 5, 2129. Prime factorization of 85160 in exponential form is:

85160 = 2³ × 5¹ × 2129¹

Step-3: Factors of 85142

List of positive integer factors of 85142 that divides 85142 without a remainder.

1, 2, 42571

Step-4: Factors of 85160

List of positive integer factors of 85160 that divides 85142 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2129, 4258, 8516, 10645, 17032, 21290, 42580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85142 and 85160. The biggest common factor number is the GCF number.
So the greatest common factor 85142 and 85160 is 2.

Also check out the Least Common Multiple of 85142 and 85160