What is the Greatest Common Factor of 85892 and 85902?

Greatest common factor (GCF) of 85892 and 85902 is 2.

GCF(85892,85902) = 2

We will now calculate the prime factors of 85892 and 85902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85892 and 85902.

How to find the GCF of 85892 and 85902?

We will first find the prime factorization of 85892 and 85902. After we will calculate the factors of 85892 and 85902 and find the biggest common factor number .

Step-1: Prime Factorization of 85892

Prime factors of 85892 are 2, 109, 197. Prime factorization of 85892 in exponential form is:

85892 = 2² × 109¹ × 197¹

Step-2: Prime Factorization of 85902

Prime factors of 85902 are 2, 3, 103, 139. Prime factorization of 85902 in exponential form is:

85902 = 2¹ × 3¹ × 103¹ × 139¹

Step-3: Factors of 85892

List of positive integer factors of 85892 that divides 85892 without a remainder.

1, 2, 4, 109, 197, 218, 394, 436, 788, 21473, 42946

Step-4: Factors of 85902

List of positive integer factors of 85902 that divides 85892 without a remainder.

1, 2, 3, 6, 103, 139, 206, 278, 309, 417, 618, 834, 14317, 28634, 42951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85892 and 85902. The biggest common factor number is the GCF number.
So the greatest common factor 85892 and 85902 is 2.

Also check out the Least Common Multiple of 85892 and 85902