What is the Greatest Common Factor of 76516 and 76529?

Greatest common factor (GCF) of 76516 and 76529 is 1.

GCF(76516,76529) = 1

We will now calculate the prime factors of 76516 and 76529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76516 and 76529.

How to find the GCF of 76516 and 76529?

We will first find the prime factorization of 76516 and 76529. After we will calculate the factors of 76516 and 76529 and find the biggest common factor number .

Step-1: Prime Factorization of 76516

Prime factors of 76516 are 2, 11, 37, 47. Prime factorization of 76516 in exponential form is:

76516 = 2² × 11¹ × 37¹ × 47¹

Step-2: Prime Factorization of 76529

Prime factors of 76529 are 103, 743. Prime factorization of 76529 in exponential form is:

76529 = 103¹ × 743¹

Step-3: Factors of 76516

List of positive integer factors of 76516 that divides 76516 without a remainder.

1, 2, 4, 11, 22, 37, 44, 47, 74, 94, 148, 188, 407, 517, 814, 1034, 1628, 1739, 2068, 3478, 6956, 19129, 38258

Step-4: Factors of 76529

List of positive integer factors of 76529 that divides 76516 without a remainder.

1, 103, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76516 and 76529. The biggest common factor number is the GCF number.
So the greatest common factor 76516 and 76529 is 1.

Also check out the Least Common Multiple of 76516 and 76529