What is the Greatest Common Factor of 77772 and 77792?

Greatest common factor (GCF) of 77772 and 77792 is 4.

GCF(77772,77792) = 4

We will now calculate the prime factors of 77772 and 77792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77772 and 77792.

How to find the GCF of 77772 and 77792?

We will first find the prime factorization of 77772 and 77792. After we will calculate the factors of 77772 and 77792 and find the biggest common factor number .

Step-1: Prime Factorization of 77772

Prime factors of 77772 are 2, 3, 6481. Prime factorization of 77772 in exponential form is:

77772 = 2² × 3¹ × 6481¹

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 77772

List of positive integer factors of 77772 that divides 77772 without a remainder.

1, 2, 3, 4, 6, 12, 6481, 12962, 19443, 25924, 38886

Step-4: Factors of 77792

List of positive integer factors of 77792 that divides 77772 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 77772 and 77792. The biggest common factor number is the GCF number.
So the greatest common factor 77772 and 77792 is 4.

Also check out the Least Common Multiple of 77772 and 77792