What is the Greatest Common Factor of 77776 and 77792?

Greatest common factor (GCF) of 77776 and 77792 is 16.

GCF(77776,77792) = 16

We will now calculate the prime factors of 77776 and 77792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77776 and 77792.

How to find the GCF of 77776 and 77792?

We will first find the prime factorization of 77776 and 77792. After we will calculate the factors of 77776 and 77792 and find the biggest common factor number .

Step-1: Prime Factorization of 77776

Prime factors of 77776 are 2, 4861. Prime factorization of 77776 in exponential form is:

77776 = 2⁴ × 4861¹

Step-2: Prime Factorization of 77792

Prime factors of 77792 are 2, 11, 13, 17. Prime factorization of 77792 in exponential form is:

77792 = 2⁵ × 11¹ × 13¹ × 17¹

Step-3: Factors of 77776

List of positive integer factors of 77776 that divides 77776 without a remainder.

1, 2, 4, 8, 16, 4861, 9722, 19444, 38888

Step-4: Factors of 77792

List of positive integer factors of 77792 that divides 77776 without a remainder.

1, 2, 4, 8, 11, 13, 16, 17, 22, 26, 32, 34, 44, 52, 68, 88, 104, 136, 143, 176, 187, 208, 221, 272, 286, 352, 374, 416, 442, 544, 572, 748, 884, 1144, 1496, 1768, 2288, 2431, 2992, 3536, 4576, 4862, 5984, 7072, 9724, 19448, 38896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77776 and 77792. The biggest common factor number is the GCF number.
So the greatest common factor 77776 and 77792 is 16.

Also check out the Least Common Multiple of 77776 and 77792