What is the Greatest Common Factor of 76067 and 76072?

Greatest common factor (GCF) of 76067 and 76072 is 1.

GCF(76067,76072) = 1

We will now calculate the prime factors of 76067 and 76072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76067 and 76072.

How to find the GCF of 76067 and 76072?

We will first find the prime factorization of 76067 and 76072. After we will calculate the factors of 76067 and 76072 and find the biggest common factor number .

Step-1: Prime Factorization of 76067

Prime factors of 76067 are 29, 43, 61. Prime factorization of 76067 in exponential form is:

76067 = 29¹ × 43¹ × 61¹

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 76067

List of positive integer factors of 76067 that divides 76067 without a remainder.

1, 29, 43, 61, 1247, 1769, 2623

Step-4: Factors of 76072

List of positive integer factors of 76072 that divides 76067 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 76067 and 76072. The biggest common factor number is the GCF number.
So the greatest common factor 76067 and 76072 is 1.

Also check out the Least Common Multiple of 76067 and 76072