What is the Greatest Common Factor of 77714 and 77727?

Greatest common factor (GCF) of 77714 and 77727 is 13.

GCF(77714,77727) = 13

We will now calculate the prime factors of 77714 and 77727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77714 and 77727.

How to find the GCF of 77714 and 77727?

We will first find the prime factorization of 77714 and 77727. After we will calculate the factors of 77714 and 77727 and find the biggest common factor number .

Step-1: Prime Factorization of 77714

Prime factors of 77714 are 2, 7, 13, 61. Prime factorization of 77714 in exponential form is:

77714 = 2¹ × 7² × 13¹ × 61¹

Step-2: 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-3: Factors of 77714

List of positive integer factors of 77714 that divides 77714 without a remainder.

1, 2, 7, 13, 14, 26, 49, 61, 91, 98, 122, 182, 427, 637, 793, 854, 1274, 1586, 2989, 5551, 5978, 11102, 38857

Step-4: Factors of 77727

List of positive integer factors of 77727 that divides 77714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77714 and 77727. The biggest common factor number is the GCF number.
So the greatest common factor 77714 and 77727 is 13.

Also check out the Least Common Multiple of 77714 and 77727