What is the Greatest Common Factor of 77314 and 77330?

Greatest common factor (GCF) of 77314 and 77330 is 2.

GCF(77314,77330) = 2

We will now calculate the prime factors of 77314 and 77330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77314 and 77330.

How to find the GCF of 77314 and 77330?

We will first find the prime factorization of 77314 and 77330. After we will calculate the factors of 77314 and 77330 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 77330

Prime factors of 77330 are 2, 5, 11, 19, 37. Prime factorization of 77330 in exponential form is:

77330 = 2¹ × 5¹ × 11¹ × 19¹ × 37¹

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 77330

List of positive integer factors of 77330 that divides 77314 without a remainder.

1, 2, 5, 10, 11, 19, 22, 37, 38, 55, 74, 95, 110, 185, 190, 209, 370, 407, 418, 703, 814, 1045, 1406, 2035, 2090, 3515, 4070, 7030, 7733, 15466, 38665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77314 and 77330. The biggest common factor number is the GCF number.
So the greatest common factor 77314 and 77330 is 2.

Also check out the Least Common Multiple of 77314 and 77330