What is the Greatest Common Factor of 76069 and 76083?

Greatest common factor (GCF) of 76069 and 76083 is 7.

GCF(76069,76083) = 7

We will now calculate the prime factors of 76069 and 76083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76069 and 76083.

How to find the GCF of 76069 and 76083?

We will first find the prime factorization of 76069 and 76083. After we will calculate the factors of 76069 and 76083 and find the biggest common factor number .

Step-1: Prime Factorization of 76069

Prime factors of 76069 are 7, 10867. Prime factorization of 76069 in exponential form is:

76069 = 7¹ × 10867¹

Step-2: Prime Factorization of 76083

Prime factors of 76083 are 3, 7, 3623. Prime factorization of 76083 in exponential form is:

76083 = 3¹ × 7¹ × 3623¹

Step-3: Factors of 76069

List of positive integer factors of 76069 that divides 76069 without a remainder.

1, 7, 10867

Step-4: Factors of 76083

List of positive integer factors of 76083 that divides 76069 without a remainder.

1, 3, 7, 21, 3623, 10869, 25361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76069 and 76083. The biggest common factor number is the GCF number.
So the greatest common factor 76069 and 76083 is 7.

Also check out the Least Common Multiple of 76069 and 76083