What is the Greatest Common Factor of 85136 and 85156?

Greatest common factor (GCF) of 85136 and 85156 is 4.

GCF(85136,85156) = 4

We will now calculate the prime factors of 85136 and 85156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85136 and 85156.

How to find the GCF of 85136 and 85156?

We will first find the prime factorization of 85136 and 85156. After we will calculate the factors of 85136 and 85156 and find the biggest common factor number .

Step-1: Prime Factorization of 85136

Prime factors of 85136 are 2, 17, 313. Prime factorization of 85136 in exponential form is:

85136 = 2⁴ × 17¹ × 313¹

Step-2: Prime Factorization of 85156

Prime factors of 85156 are 2, 61, 349. Prime factorization of 85156 in exponential form is:

85156 = 2² × 61¹ × 349¹

Step-3: Factors of 85136

List of positive integer factors of 85136 that divides 85136 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 313, 626, 1252, 2504, 5008, 5321, 10642, 21284, 42568

Step-4: Factors of 85156

List of positive integer factors of 85156 that divides 85136 without a remainder.

1, 2, 4, 61, 122, 244, 349, 698, 1396, 21289, 42578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85136 and 85156. The biggest common factor number is the GCF number.
So the greatest common factor 85136 and 85156 is 4.

Also check out the Least Common Multiple of 85136 and 85156