What is the Greatest Common Factor of 77720 and 77731?

Greatest common factor (GCF) of 77720 and 77731 is 1.

GCF(77720,77731) = 1

We will now calculate the prime factors of 77720 and 77731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77720 and 77731.

How to find the GCF of 77720 and 77731?

We will first find the prime factorization of 77720 and 77731. After we will calculate the factors of 77720 and 77731 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 77731

Prime factors of 77731 are 77731. Prime factorization of 77731 in exponential form is:

77731 = 77731¹

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 77731

List of positive integer factors of 77731 that divides 77720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77720 and 77731. The biggest common factor number is the GCF number.
So the greatest common factor 77720 and 77731 is 1.

Also check out the Least Common Multiple of 77720 and 77731