What is the Greatest Common Factor of 77727 and 77731?

Greatest common factor (GCF) of 77727 and 77731 is 1.

GCF(77727,77731) = 1

We will now calculate the prime factors of 77727 and 77731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77727 and 77731.

How to find the GCF of 77727 and 77731?

We will first find the prime factorization of 77727 and 77731. After we will calculate the factors of 77727 and 77731 and find the biggest common factor number .

Step-1: Prime Factorization of 77727

Prime factors of 77727 are 3, 13, 1993. Prime factorization of 77727 in exponential form is:

77727 = 3¹ × 13¹ × 1993¹

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 77727

List of positive integer factors of 77727 that divides 77727 without a remainder.

1, 3, 13, 39, 1993, 5979, 25909

Step-4: Factors of 77731

List of positive integer factors of 77731 that divides 77727 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77727 and 77731. The biggest common factor number is the GCF number.
So the greatest common factor 77727 and 77731 is 1.

Also check out the Least Common Multiple of 77727 and 77731