What is the Greatest Common Factor of 77519 and 77529?

Greatest common factor (GCF) of 77519 and 77529 is 1.

GCF(77519,77529) = 1

We will now calculate the prime factors of 77519 and 77529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77519 and 77529.

How to find the GCF of 77519 and 77529?

We will first find the prime factorization of 77519 and 77529. After we will calculate the factors of 77519 and 77529 and find the biggest common factor number .

Step-1: Prime Factorization of 77519

Prime factors of 77519 are 13, 67, 89. Prime factorization of 77519 in exponential form is:

77519 = 13¹ × 67¹ × 89¹

Step-2: Prime Factorization of 77529

Prime factors of 77529 are 3, 43, 601. Prime factorization of 77529 in exponential form is:

77529 = 3¹ × 43¹ × 601¹

Step-3: Factors of 77519

List of positive integer factors of 77519 that divides 77519 without a remainder.

1, 13, 67, 89, 871, 1157, 5963

Step-4: Factors of 77529

List of positive integer factors of 77529 that divides 77519 without a remainder.

1, 3, 43, 129, 601, 1803, 25843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77519 and 77529. The biggest common factor number is the GCF number.
So the greatest common factor 77519 and 77529 is 1.

Also check out the Least Common Multiple of 77519 and 77529