What is the Greatest Common Factor of 88902 and 88913?

Greatest common factor (GCF) of 88902 and 88913 is 11.

GCF(88902,88913) = 11

We will now calculate the prime factors of 88902 and 88913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88902 and 88913.

How to find the GCF of 88902 and 88913?

We will first find the prime factorization of 88902 and 88913. After we will calculate the factors of 88902 and 88913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88913

Prime factors of 88913 are 11, 59, 137. Prime factorization of 88913 in exponential form is:

88913 = 11¹ × 59¹ × 137¹

Step-3: Factors of 88902

List of positive integer factors of 88902 that divides 88902 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

Step-4: Factors of 88913

List of positive integer factors of 88913 that divides 88902 without a remainder.

1, 11, 59, 137, 649, 1507, 8083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88902 and 88913. The biggest common factor number is the GCF number.
So the greatest common factor 88902 and 88913 is 11.

Also check out the Least Common Multiple of 88902 and 88913