What is the Greatest Common Factor of 10902 and 10916?

Greatest common factor (GCF) of 10902 and 10916 is 2.

GCF(10902,10916) = 2

We will now calculate the prime factors of 10902 and 10916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10902 and 10916.

How to find the GCF of 10902 and 10916?

We will first find the prime factorization of 10902 and 10916. After we will calculate the factors of 10902 and 10916 and find the biggest common factor number .

Step-1: Prime Factorization of 10902

Prime factors of 10902 are 2, 3, 23, 79. Prime factorization of 10902 in exponential form is:

10902 = 2¹ × 3¹ × 23¹ × 79¹

Step-2: Prime Factorization of 10916

Prime factors of 10916 are 2, 2729. Prime factorization of 10916 in exponential form is:

10916 = 2² × 2729¹

Step-3: Factors of 10902

List of positive integer factors of 10902 that divides 10902 without a remainder.

1, 2, 3, 6, 23, 46, 69, 79, 138, 158, 237, 474, 1817, 3634, 5451

Step-4: Factors of 10916

List of positive integer factors of 10916 that divides 10902 without a remainder.

1, 2, 4, 2729, 5458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10902 and 10916. The biggest common factor number is the GCF number.
So the greatest common factor 10902 and 10916 is 2.

Also check out the Least Common Multiple of 10902 and 10916