What is the Greatest Common Factor of 85142 and 85162?

Greatest common factor (GCF) of 85142 and 85162 is 2.

GCF(85142,85162) = 2

We will now calculate the prime factors of 85142 and 85162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85142 and 85162.

How to find the GCF of 85142 and 85162?

We will first find the prime factorization of 85142 and 85162. After we will calculate the factors of 85142 and 85162 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 85162

Prime factors of 85162 are 2, 7, 11, 79. Prime factorization of 85162 in exponential form is:

85162 = 2¹ × 7² × 11¹ × 79¹

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 85162

List of positive integer factors of 85162 that divides 85142 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 79, 98, 154, 158, 539, 553, 869, 1078, 1106, 1738, 3871, 6083, 7742, 12166, 42581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85142 and 85162. The biggest common factor number is the GCF number.
So the greatest common factor 85142 and 85162 is 2.

Also check out the Least Common Multiple of 85142 and 85162