What is the Greatest Common Factor of 85842 and 85852?

Greatest common factor (GCF) of 85842 and 85852 is 2.

GCF(85842,85852) = 2

We will now calculate the prime factors of 85842 and 85852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85842 and 85852.

How to find the GCF of 85842 and 85852?

We will first find the prime factorization of 85842 and 85852. After we will calculate the factors of 85842 and 85852 and find the biggest common factor number .

Step-1: Prime Factorization of 85842

Prime factors of 85842 are 2, 3, 19, 251. Prime factorization of 85842 in exponential form is:

85842 = 2¹ × 3² × 19¹ × 251¹

Step-2: Prime Factorization of 85852

Prime factors of 85852 are 2, 13, 127. Prime factorization of 85852 in exponential form is:

85852 = 2² × 13² × 127¹

Step-3: Factors of 85842

List of positive integer factors of 85842 that divides 85842 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 251, 342, 502, 753, 1506, 2259, 4518, 4769, 9538, 14307, 28614, 42921

Step-4: Factors of 85852

List of positive integer factors of 85852 that divides 85842 without a remainder.

1, 2, 4, 13, 26, 52, 127, 169, 254, 338, 508, 676, 1651, 3302, 6604, 21463, 42926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85842 and 85852. The biggest common factor number is the GCF number.
So the greatest common factor 85842 and 85852 is 2.

Also check out the Least Common Multiple of 85842 and 85852