What is the Greatest Common Factor of 77772 and 77780?

Greatest common factor (GCF) of 77772 and 77780 is 4.

GCF(77772,77780) = 4

We will now calculate the prime factors of 77772 and 77780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77772 and 77780.

How to find the GCF of 77772 and 77780?

We will first find the prime factorization of 77772 and 77780. After we will calculate the factors of 77772 and 77780 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 77780

Prime factors of 77780 are 2, 5, 3889. Prime factorization of 77780 in exponential form is:

77780 = 2² × 5¹ × 3889¹

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 77780

List of positive integer factors of 77780 that divides 77772 without a remainder.

1, 2, 4, 5, 10, 20, 3889, 7778, 15556, 19445, 38890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77772 and 77780. The biggest common factor number is the GCF number.
So the greatest common factor 77772 and 77780 is 4.

Also check out the Least Common Multiple of 77772 and 77780