What is the Greatest Common Factor of 76540 and 76558?

Greatest common factor (GCF) of 76540 and 76558 is 2.

GCF(76540,76558) = 2

We will now calculate the prime factors of 76540 and 76558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76540 and 76558.

How to find the GCF of 76540 and 76558?

We will first find the prime factorization of 76540 and 76558. After we will calculate the factors of 76540 and 76558 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76558

Prime factors of 76558 are 2, 101, 379. Prime factorization of 76558 in exponential form is:

76558 = 2¹ × 101¹ × 379¹

Step-3: Factors of 76540

List of positive integer factors of 76540 that divides 76540 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

Step-4: Factors of 76558

List of positive integer factors of 76558 that divides 76540 without a remainder.

1, 2, 101, 202, 379, 758, 38279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76540 and 76558. The biggest common factor number is the GCF number.
So the greatest common factor 76540 and 76558 is 2.

Also check out the Least Common Multiple of 76540 and 76558