What is the Greatest Common Factor of 80896 and 80916?

Greatest common factor (GCF) of 80896 and 80916 is 4.

GCF(80896,80916) = 4

We will now calculate the prime factors of 80896 and 80916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80896 and 80916.

How to find the GCF of 80896 and 80916?

We will first find the prime factorization of 80896 and 80916. After we will calculate the factors of 80896 and 80916 and find the biggest common factor number .

Step-1: Prime Factorization of 80896

Prime factors of 80896 are 2, 79. Prime factorization of 80896 in exponential form is:

80896 = 2¹⁰ × 79¹

Step-2: Prime Factorization of 80916

Prime factors of 80916 are 2, 3, 11, 613. Prime factorization of 80916 in exponential form is:

80916 = 2² × 3¹ × 11¹ × 613¹

Step-3: Factors of 80896

List of positive integer factors of 80896 that divides 80896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1024, 1264, 2528, 5056, 10112, 20224, 40448

Step-4: Factors of 80916

List of positive integer factors of 80916 that divides 80896 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 613, 1226, 1839, 2452, 3678, 6743, 7356, 13486, 20229, 26972, 40458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80896 and 80916. The biggest common factor number is the GCF number.
So the greatest common factor 80896 and 80916 is 4.

Also check out the Least Common Multiple of 80896 and 80916