What is the Greatest Common Factor of 77773 and 77778?

Greatest common factor (GCF) of 77773 and 77778 is 1.

GCF(77773,77778) = 1

We will now calculate the prime factors of 77773 and 77778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77773 and 77778.

How to find the GCF of 77773 and 77778?

We will first find the prime factorization of 77773 and 77778. After we will calculate the factors of 77773 and 77778 and find the biggest common factor number .

Step-1: Prime Factorization of 77773

Prime factors of 77773 are 77773. Prime factorization of 77773 in exponential form is:

77773 = 77773¹

Step-2: Prime Factorization of 77778

Prime factors of 77778 are 2, 3, 29, 149. Prime factorization of 77778 in exponential form is:

77778 = 2¹ × 3² × 29¹ × 149¹

Step-3: Factors of 77773

List of positive integer factors of 77773 that divides 77773 without a remainder.

Step-4: Factors of 77778

List of positive integer factors of 77778 that divides 77773 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 149, 174, 261, 298, 447, 522, 894, 1341, 2682, 4321, 8642, 12963, 25926, 38889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77773 and 77778. The biggest common factor number is the GCF number.
So the greatest common factor 77773 and 77778 is 1.

Also check out the Least Common Multiple of 77773 and 77778