What is the Greatest Common Factor of 77714 and 77734?

Greatest common factor (GCF) of 77714 and 77734 is 2.

GCF(77714,77734) = 2

We will now calculate the prime factors of 77714 and 77734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77714 and 77734.

How to find the GCF of 77714 and 77734?

We will first find the prime factorization of 77714 and 77734. After we will calculate the factors of 77714 and 77734 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 77734

Prime factors of 77734 are 2, 38867. Prime factorization of 77734 in exponential form is:

77734 = 2¹ × 38867¹

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 77734

List of positive integer factors of 77734 that divides 77714 without a remainder.

1, 2, 38867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77714 and 77734. The biggest common factor number is the GCF number.
So the greatest common factor 77714 and 77734 is 2.

Also check out the Least Common Multiple of 77714 and 77734