What is the Greatest Common Factor of 76325 and 76340?

Greatest common factor (GCF) of 76325 and 76340 is 5.

GCF(76325,76340) = 5

We will now calculate the prime factors of 76325 and 76340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76325 and 76340.

How to find the GCF of 76325 and 76340?

We will first find the prime factorization of 76325 and 76340. After we will calculate the factors of 76325 and 76340 and find the biggest common factor number .

Step-1: Prime Factorization of 76325

Prime factors of 76325 are 5, 43, 71. Prime factorization of 76325 in exponential form is:

76325 = 5² × 43¹ × 71¹

Step-2: Prime Factorization of 76340

Prime factors of 76340 are 2, 5, 11, 347. Prime factorization of 76340 in exponential form is:

76340 = 2² × 5¹ × 11¹ × 347¹

Step-3: Factors of 76325

List of positive integer factors of 76325 that divides 76325 without a remainder.

1, 5, 25, 43, 71, 215, 355, 1075, 1775, 3053, 15265

Step-4: Factors of 76340

List of positive integer factors of 76340 that divides 76325 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 347, 694, 1388, 1735, 3470, 3817, 6940, 7634, 15268, 19085, 38170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76325 and 76340. The biggest common factor number is the GCF number.
So the greatest common factor 76325 and 76340 is 5.

Also check out the Least Common Multiple of 76325 and 76340