What is the Greatest Common Factor of 77758 and 77772?

Greatest common factor (GCF) of 77758 and 77772 is 2.

GCF(77758,77772) = 2

We will now calculate the prime factors of 77758 and 77772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77758 and 77772.

How to find the GCF of 77758 and 77772?

We will first find the prime factorization of 77758 and 77772. After we will calculate the factors of 77758 and 77772 and find the biggest common factor number .

Step-1: Prime Factorization of 77758

Prime factors of 77758 are 2, 17, 2287. Prime factorization of 77758 in exponential form is:

77758 = 2¹ × 17¹ × 2287¹

Step-2: 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-3: Factors of 77758

List of positive integer factors of 77758 that divides 77758 without a remainder.

1, 2, 17, 34, 2287, 4574, 38879

Step-4: Factors of 77772

List of positive integer factors of 77772 that divides 77758 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77758 and 77772. The biggest common factor number is the GCF number.
So the greatest common factor 77758 and 77772 is 2.

Also check out the Least Common Multiple of 77758 and 77772