What is the Greatest Common Factor of 77314 and 77320?

Greatest common factor (GCF) of 77314 and 77320 is 2.

GCF(77314,77320) = 2

We will now calculate the prime factors of 77314 and 77320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77314 and 77320.

How to find the GCF of 77314 and 77320?

We will first find the prime factorization of 77314 and 77320. After we will calculate the factors of 77314 and 77320 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 77320

Prime factors of 77320 are 2, 5, 1933. Prime factorization of 77320 in exponential form is:

77320 = 2³ × 5¹ × 1933¹

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 77320

List of positive integer factors of 77320 that divides 77314 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1933, 3866, 7732, 9665, 15464, 19330, 38660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77314 and 77320. The biggest common factor number is the GCF number.
So the greatest common factor 77314 and 77320 is 2.

Also check out the Least Common Multiple of 77314 and 77320