What is the Greatest Common Factor of 85034 and 85042?

Greatest common factor (GCF) of 85034 and 85042 is 2.

GCF(85034,85042) = 2

We will now calculate the prime factors of 85034 and 85042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85034 and 85042.

How to find the GCF of 85034 and 85042?

We will first find the prime factorization of 85034 and 85042. After we will calculate the factors of 85034 and 85042 and find the biggest common factor number .

Step-1: Prime Factorization of 85034

Prime factors of 85034 are 2, 17, 41, 61. Prime factorization of 85034 in exponential form is:

85034 = 2¹ × 17¹ × 41¹ × 61¹

Step-2: Prime Factorization of 85042

Prime factors of 85042 are 2, 101, 421. Prime factorization of 85042 in exponential form is:

85042 = 2¹ × 101¹ × 421¹

Step-3: Factors of 85034

List of positive integer factors of 85034 that divides 85034 without a remainder.

1, 2, 17, 34, 41, 61, 82, 122, 697, 1037, 1394, 2074, 2501, 5002, 42517

Step-4: Factors of 85042

List of positive integer factors of 85042 that divides 85034 without a remainder.

1, 2, 101, 202, 421, 842, 42521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85034 and 85042. The biggest common factor number is the GCF number.
So the greatest common factor 85034 and 85042 is 2.

Also check out the Least Common Multiple of 85034 and 85042