What is the Greatest Common Factor of 76774 and 76788?

Greatest common factor (GCF) of 76774 and 76788 is 2.

GCF(76774,76788) = 2

We will now calculate the prime factors of 76774 and 76788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76774 and 76788.

How to find the GCF of 76774 and 76788?

We will first find the prime factorization of 76774 and 76788. After we will calculate the factors of 76774 and 76788 and find the biggest common factor number .

Step-1: Prime Factorization of 76774

Prime factors of 76774 are 2, 23, 1669. Prime factorization of 76774 in exponential form is:

76774 = 2¹ × 23¹ × 1669¹

Step-2: Prime Factorization of 76788

Prime factors of 76788 are 2, 3, 79. Prime factorization of 76788 in exponential form is:

76788 = 2² × 3⁵ × 79¹

Step-3: Factors of 76774

List of positive integer factors of 76774 that divides 76774 without a remainder.

1, 2, 23, 46, 1669, 3338, 38387

Step-4: Factors of 76788

List of positive integer factors of 76788 that divides 76774 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 81, 108, 158, 162, 237, 243, 316, 324, 474, 486, 711, 948, 972, 1422, 2133, 2844, 4266, 6399, 8532, 12798, 19197, 25596, 38394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76774 and 76788. The biggest common factor number is the GCF number.
So the greatest common factor 76774 and 76788 is 2.

Also check out the Least Common Multiple of 76774 and 76788