What is the Greatest Common Factor of 76540 and 76550?

Greatest common factor (GCF) of 76540 and 76550 is 10.

GCF(76540,76550) = 10

We will now calculate the prime factors of 76540 and 76550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76540 and 76550.

How to find the GCF of 76540 and 76550?

We will first find the prime factorization of 76540 and 76550. After we will calculate the factors of 76540 and 76550 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 76550

Prime factors of 76550 are 2, 5, 1531. Prime factorization of 76550 in exponential form is:

76550 = 2¹ × 5² × 1531¹

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 76550

List of positive integer factors of 76550 that divides 76540 without a remainder.

1, 2, 5, 10, 25, 50, 1531, 3062, 7655, 15310, 38275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76540 and 76550. The biggest common factor number is the GCF number.
So the greatest common factor 76540 and 76550 is 10.

Also check out the Least Common Multiple of 76540 and 76550