What is the Greatest Common Factor of 77314 and 77324?

Greatest common factor (GCF) of 77314 and 77324 is 2.

GCF(77314,77324) = 2

We will now calculate the prime factors of 77314 and 77324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77314 and 77324.

How to find the GCF of 77314 and 77324?

We will first find the prime factorization of 77314 and 77324. After we will calculate the factors of 77314 and 77324 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 77324

Prime factors of 77324 are 2, 13, 1487. Prime factorization of 77324 in exponential form is:

77324 = 2² × 13¹ × 1487¹

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 77324

List of positive integer factors of 77324 that divides 77314 without a remainder.

1, 2, 4, 13, 26, 52, 1487, 2974, 5948, 19331, 38662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77314 and 77324. The biggest common factor number is the GCF number.
So the greatest common factor 77314 and 77324 is 2.

Also check out the Least Common Multiple of 77314 and 77324