What is the Greatest Common Factor of 85034 and 85054?

Greatest common factor (GCF) of 85034 and 85054 is 2.

GCF(85034,85054) = 2

We will now calculate the prime factors of 85034 and 85054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85034 and 85054.

How to find the GCF of 85034 and 85054?

We will first find the prime factorization of 85034 and 85054. After we will calculate the factors of 85034 and 85054 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 85054

Prime factors of 85054 are 2, 23, 43. Prime factorization of 85054 in exponential form is:

85054 = 2¹ × 23¹ × 43²

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 85054

List of positive integer factors of 85054 that divides 85034 without a remainder.

1, 2, 23, 43, 46, 86, 989, 1849, 1978, 3698, 42527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85034 and 85054. The biggest common factor number is the GCF number.
So the greatest common factor 85034 and 85054 is 2.

Also check out the Least Common Multiple of 85034 and 85054