What is the Greatest Common Factor of 76523 and 76540?

Greatest common factor (GCF) of 76523 and 76540 is 1.

GCF(76523,76540) = 1

We will now calculate the prime factors of 76523 and 76540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76523 and 76540.

How to find the GCF of 76523 and 76540?

We will first find the prime factorization of 76523 and 76540. After we will calculate the factors of 76523 and 76540 and find the biggest common factor number .

Step-1: Prime Factorization of 76523

Prime factors of 76523 are 59, 1297. Prime factorization of 76523 in exponential form is:

76523 = 59¹ × 1297¹

Step-2: Prime Factorization of 76540

Prime factors of 76540 are 2, 5, 43, 89. Prime factorization of 76540 in exponential form is:

76540 = 2² × 5¹ × 43¹ × 89¹

Step-3: Factors of 76523

List of positive integer factors of 76523 that divides 76523 without a remainder.

1, 59, 1297

Step-4: Factors of 76540

List of positive integer factors of 76540 that divides 76523 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 89, 172, 178, 215, 356, 430, 445, 860, 890, 1780, 3827, 7654, 15308, 19135, 38270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76523 and 76540. The biggest common factor number is the GCF number.
So the greatest common factor 76523 and 76540 is 1.

Also check out the Least Common Multiple of 76523 and 76540