What is the Greatest Common Factor of 78080 and 78096?

Greatest common factor (GCF) of 78080 and 78096 is 16.

GCF(78080,78096) = 16

We will now calculate the prime factors of 78080 and 78096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78080 and 78096.

How to find the GCF of 78080 and 78096?

We will first find the prime factorization of 78080 and 78096. After we will calculate the factors of 78080 and 78096 and find the biggest common factor number .

Step-1: Prime Factorization of 78080

Prime factors of 78080 are 2, 5, 61. Prime factorization of 78080 in exponential form is:

78080 = 2⁸ × 5¹ × 61¹

Step-2: Prime Factorization of 78096

Prime factors of 78096 are 2, 3, 1627. Prime factorization of 78096 in exponential form is:

78096 = 2⁴ × 3¹ × 1627¹

Step-3: Factors of 78080

List of positive integer factors of 78080 that divides 78080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 256, 305, 320, 488, 610, 640, 976, 1220, 1280, 1952, 2440, 3904, 4880, 7808, 9760, 15616, 19520, 39040

Step-4: Factors of 78096

List of positive integer factors of 78096 that divides 78080 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1627, 3254, 4881, 6508, 9762, 13016, 19524, 26032, 39048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78080 and 78096. The biggest common factor number is the GCF number.
So the greatest common factor 78080 and 78096 is 16.

Also check out the Least Common Multiple of 78080 and 78096