What is the Greatest Common Factor of 76054 and 76072?

Greatest common factor (GCF) of 76054 and 76072 is 2.

GCF(76054,76072) = 2

We will now calculate the prime factors of 76054 and 76072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76054 and 76072.

How to find the GCF of 76054 and 76072?

We will first find the prime factorization of 76054 and 76072. After we will calculate the factors of 76054 and 76072 and find the biggest common factor number .

Step-1: Prime Factorization of 76054

Prime factors of 76054 are 2, 11, 3457. Prime factorization of 76054 in exponential form is:

76054 = 2¹ × 11¹ × 3457¹

Step-2: Prime Factorization of 76072

Prime factors of 76072 are 2, 37, 257. Prime factorization of 76072 in exponential form is:

76072 = 2³ × 37¹ × 257¹

Step-3: Factors of 76054

List of positive integer factors of 76054 that divides 76054 without a remainder.

1, 2, 11, 22, 3457, 6914, 38027

Step-4: Factors of 76072

List of positive integer factors of 76072 that divides 76054 without a remainder.

1, 2, 4, 8, 37, 74, 148, 257, 296, 514, 1028, 2056, 9509, 19018, 38036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76054 and 76072. The biggest common factor number is the GCF number.
So the greatest common factor 76054 and 76072 is 2.

Also check out the Least Common Multiple of 76054 and 76072