What is the Greatest Common Factor of 77772 and 77790?

Greatest common factor (GCF) of 77772 and 77790 is 6.

GCF(77772,77790) = 6

We will now calculate the prime factors of 77772 and 77790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77772 and 77790.

How to find the GCF of 77772 and 77790?

We will first find the prime factorization of 77772 and 77790. After we will calculate the factors of 77772 and 77790 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 77790

Prime factors of 77790 are 2, 3, 5, 2593. Prime factorization of 77790 in exponential form is:

77790 = 2¹ × 3¹ × 5¹ × 2593¹

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 77790

List of positive integer factors of 77790 that divides 77772 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2593, 5186, 7779, 12965, 15558, 25930, 38895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77772 and 77790. The biggest common factor number is the GCF number.
So the greatest common factor 77772 and 77790 is 6.

Also check out the Least Common Multiple of 77772 and 77790