What is the Greatest Common Factor of 77720 and 77729?

Greatest common factor (GCF) of 77720 and 77729 is 1.

GCF(77720,77729) = 1

We will now calculate the prime factors of 77720 and 77729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77720 and 77729.

How to find the GCF of 77720 and 77729?

We will first find the prime factorization of 77720 and 77729. After we will calculate the factors of 77720 and 77729 and find the biggest common factor number .

Step-1: Prime Factorization of 77720

Prime factors of 77720 are 2, 5, 29, 67. Prime factorization of 77720 in exponential form is:

77720 = 2³ × 5¹ × 29¹ × 67¹

Step-2: Prime Factorization of 77729

Prime factors of 77729 are 19, 4091. Prime factorization of 77729 in exponential form is:

77729 = 19¹ × 4091¹

Step-3: Factors of 77720

List of positive integer factors of 77720 that divides 77720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 67, 116, 134, 145, 232, 268, 290, 335, 536, 580, 670, 1160, 1340, 1943, 2680, 3886, 7772, 9715, 15544, 19430, 38860

Step-4: Factors of 77729

List of positive integer factors of 77729 that divides 77720 without a remainder.

1, 19, 4091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77720 and 77729. The biggest common factor number is the GCF number.
So the greatest common factor 77720 and 77729 is 1.

Also check out the Least Common Multiple of 77720 and 77729