What is the Greatest Common Factor of 76064 and 76074?

Greatest common factor (GCF) of 76064 and 76074 is 2.

GCF(76064,76074) = 2

We will now calculate the prime factors of 76064 and 76074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76064 and 76074.

How to find the GCF of 76064 and 76074?

We will first find the prime factorization of 76064 and 76074. After we will calculate the factors of 76064 and 76074 and find the biggest common factor number .

Step-1: Prime Factorization of 76064

Prime factors of 76064 are 2, 2377. Prime factorization of 76064 in exponential form is:

76064 = 2⁵ × 2377¹

Step-2: Prime Factorization of 76074

Prime factors of 76074 are 2, 3, 31, 409. Prime factorization of 76074 in exponential form is:

76074 = 2¹ × 3¹ × 31¹ × 409¹

Step-3: Factors of 76064

List of positive integer factors of 76064 that divides 76064 without a remainder.

1, 2, 4, 8, 16, 32, 2377, 4754, 9508, 19016, 38032

Step-4: Factors of 76074

List of positive integer factors of 76074 that divides 76064 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 409, 818, 1227, 2454, 12679, 25358, 38037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76064 and 76074. The biggest common factor number is the GCF number.
So the greatest common factor 76064 and 76074 is 2.

Also check out the Least Common Multiple of 76064 and 76074