What is the Greatest Common Factor of 88891 and 88902?

Greatest common factor (GCF) of 88891 and 88902 is 11.

GCF(88891,88902) = 11

We will now calculate the prime factors of 88891 and 88902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88891 and 88902.

How to find the GCF of 88891 and 88902?

We will first find the prime factorization of 88891 and 88902. After we will calculate the factors of 88891 and 88902 and find the biggest common factor number .

Step-1: Prime Factorization of 88891

Prime factors of 88891 are 11, 8081. Prime factorization of 88891 in exponential form is:

88891 = 11¹ × 8081¹

Step-2: Prime Factorization of 88902

Prime factors of 88902 are 2, 3, 11, 449. Prime factorization of 88902 in exponential form is:

88902 = 2¹ × 3² × 11¹ × 449¹

Step-3: Factors of 88891

List of positive integer factors of 88891 that divides 88891 without a remainder.

1, 11, 8081

Step-4: Factors of 88902

List of positive integer factors of 88902 that divides 88891 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 449, 898, 1347, 2694, 4041, 4939, 8082, 9878, 14817, 29634, 44451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88891 and 88902. The biggest common factor number is the GCF number.
So the greatest common factor 88891 and 88902 is 11.

Also check out the Least Common Multiple of 88891 and 88902