What is the Greatest Common Factor of 85014 and 85034?

Greatest common factor (GCF) of 85014 and 85034 is 2.

GCF(85014,85034) = 2

We will now calculate the prime factors of 85014 and 85034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85014 and 85034.

How to find the GCF of 85014 and 85034?

We will first find the prime factorization of 85014 and 85034. After we will calculate the factors of 85014 and 85034 and find the biggest common factor number .

Step-1: Prime Factorization of 85014

Prime factors of 85014 are 2, 3, 4723. Prime factorization of 85014 in exponential form is:

85014 = 2¹ × 3² × 4723¹

Step-2: 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-3: Factors of 85014

List of positive integer factors of 85014 that divides 85014 without a remainder.

1, 2, 3, 6, 9, 18, 4723, 9446, 14169, 28338, 42507

Step-4: Factors of 85034

List of positive integer factors of 85034 that divides 85014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85014 and 85034. The biggest common factor number is the GCF number.
So the greatest common factor 85014 and 85034 is 2.

Also check out the Least Common Multiple of 85014 and 85034