What is the Greatest Common Factor of 85118 and 85129?

Greatest common factor (GCF) of 85118 and 85129 is 11.

GCF(85118,85129) = 11

We will now calculate the prime factors of 85118 and 85129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85118 and 85129.

How to find the GCF of 85118 and 85129?

We will first find the prime factorization of 85118 and 85129. After we will calculate the factors of 85118 and 85129 and find the biggest common factor number .

Step-1: Prime Factorization of 85118

Prime factors of 85118 are 2, 11, 53, 73. Prime factorization of 85118 in exponential form is:

85118 = 2¹ × 11¹ × 53¹ × 73¹

Step-2: Prime Factorization of 85129

Prime factors of 85129 are 11, 71, 109. Prime factorization of 85129 in exponential form is:

85129 = 11¹ × 71¹ × 109¹

Step-3: Factors of 85118

List of positive integer factors of 85118 that divides 85118 without a remainder.

1, 2, 11, 22, 53, 73, 106, 146, 583, 803, 1166, 1606, 3869, 7738, 42559

Step-4: Factors of 85129

List of positive integer factors of 85129 that divides 85118 without a remainder.

1, 11, 71, 109, 781, 1199, 7739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85118 and 85129. The biggest common factor number is the GCF number.
So the greatest common factor 85118 and 85129 is 11.

Also check out the Least Common Multiple of 85118 and 85129