What is the Greatest Common Factor of 85888 and 85902?

Greatest common factor (GCF) of 85888 and 85902 is 2.

GCF(85888,85902) = 2

We will now calculate the prime factors of 85888 and 85902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85888 and 85902.

How to find the GCF of 85888 and 85902?

We will first find the prime factorization of 85888 and 85902. After we will calculate the factors of 85888 and 85902 and find the biggest common factor number .

Step-1: Prime Factorization of 85888

Prime factors of 85888 are 2, 11, 61. Prime factorization of 85888 in exponential form is:

85888 = 2⁷ × 11¹ × 61¹

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 85888

List of positive integer factors of 85888 that divides 85888 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 64, 88, 122, 128, 176, 244, 352, 488, 671, 704, 976, 1342, 1408, 1952, 2684, 3904, 5368, 7808, 10736, 21472, 42944

Step-4: Factors of 85902

List of positive integer factors of 85902 that divides 85888 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 85888 and 85902. The biggest common factor number is the GCF number.
So the greatest common factor 85888 and 85902 is 2.

Also check out the Least Common Multiple of 85888 and 85902