What is the Greatest Common Factor of 76029 and 76049?

Greatest common factor (GCF) of 76029 and 76049 is 1.

GCF(76029,76049) = 1

We will now calculate the prime factors of 76029 and 76049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76029 and 76049.

How to find the GCF of 76029 and 76049?

We will first find the prime factorization of 76029 and 76049. After we will calculate the factors of 76029 and 76049 and find the biggest common factor number .

Step-1: Prime Factorization of 76029

Prime factors of 76029 are 3, 25343. Prime factorization of 76029 in exponential form is:

76029 = 3¹ × 25343¹

Step-2: Prime Factorization of 76049

Prime factors of 76049 are 113, 673. Prime factorization of 76049 in exponential form is:

76049 = 113¹ × 673¹

Step-3: Factors of 76029

List of positive integer factors of 76029 that divides 76029 without a remainder.

1, 3, 25343

Step-4: Factors of 76049

List of positive integer factors of 76049 that divides 76029 without a remainder.

1, 113, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76029 and 76049. The biggest common factor number is the GCF number.
So the greatest common factor 76029 and 76049 is 1.

Also check out the Least Common Multiple of 76029 and 76049