What is the Greatest Common Factor of 85034 and 85052?

Greatest common factor (GCF) of 85034 and 85052 is 2.

GCF(85034,85052) = 2

We will now calculate the prime factors of 85034 and 85052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85034 and 85052.

How to find the GCF of 85034 and 85052?

We will first find the prime factorization of 85034 and 85052. After we will calculate the factors of 85034 and 85052 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 85052

Prime factors of 85052 are 2, 11, 1933. Prime factorization of 85052 in exponential form is:

85052 = 2² × 11¹ × 1933¹

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 85052

List of positive integer factors of 85052 that divides 85034 without a remainder.

1, 2, 4, 11, 22, 44, 1933, 3866, 7732, 21263, 42526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85034 and 85052. The biggest common factor number is the GCF number.
So the greatest common factor 85034 and 85052 is 2.

Also check out the Least Common Multiple of 85034 and 85052