What is the Greatest Common Factor of 77314 and 77319?

Greatest common factor (GCF) of 77314 and 77319 is 1.

GCF(77314,77319) = 1

We will now calculate the prime factors of 77314 and 77319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77314 and 77319.

How to find the GCF of 77314 and 77319?

We will first find the prime factorization of 77314 and 77319. After we will calculate the factors of 77314 and 77319 and find the biggest common factor number .

Step-1: Prime Factorization of 77314

Prime factors of 77314 are 2, 29, 31, 43. Prime factorization of 77314 in exponential form is:

77314 = 2¹ × 29¹ × 31¹ × 43¹

Step-2: Prime Factorization of 77319

Prime factors of 77319 are 3, 11, 71. Prime factorization of 77319 in exponential form is:

77319 = 3² × 11² × 71¹

Step-3: Factors of 77314

List of positive integer factors of 77314 that divides 77314 without a remainder.

1, 2, 29, 31, 43, 58, 62, 86, 899, 1247, 1333, 1798, 2494, 2666, 38657

Step-4: Factors of 77319

List of positive integer factors of 77319 that divides 77314 without a remainder.

1, 3, 9, 11, 33, 71, 99, 121, 213, 363, 639, 781, 1089, 2343, 7029, 8591, 25773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77314 and 77319. The biggest common factor number is the GCF number.
So the greatest common factor 77314 and 77319 is 1.

Also check out the Least Common Multiple of 77314 and 77319