What is the Greatest Common Factor of 85034 and 85038?

Greatest common factor (GCF) of 85034 and 85038 is 2.

GCF(85034,85038) = 2

We will now calculate the prime factors of 85034 and 85038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85034 and 85038.

How to find the GCF of 85034 and 85038?

We will first find the prime factorization of 85034 and 85038. After we will calculate the factors of 85034 and 85038 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 85038

Prime factors of 85038 are 2, 3, 14173. Prime factorization of 85038 in exponential form is:

85038 = 2¹ × 3¹ × 14173¹

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 85038

List of positive integer factors of 85038 that divides 85034 without a remainder.

1, 2, 3, 6, 14173, 28346, 42519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85034 and 85038. The biggest common factor number is the GCF number.
So the greatest common factor 85034 and 85038 is 2.

Also check out the Least Common Multiple of 85034 and 85038