What is the Greatest Common Factor of 76590 and 76610?

Greatest common factor (GCF) of 76590 and 76610 is 10.

GCF(76590,76610) = 10

We will now calculate the prime factors of 76590 and 76610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76590 and 76610.

How to find the GCF of 76590 and 76610?

We will first find the prime factorization of 76590 and 76610. After we will calculate the factors of 76590 and 76610 and find the biggest common factor number .

Step-1: Prime Factorization of 76590

Prime factors of 76590 are 2, 3, 5, 23, 37. Prime factorization of 76590 in exponential form is:

76590 = 2¹ × 3² × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 76610

Prime factors of 76610 are 2, 5, 47, 163. Prime factorization of 76610 in exponential form is:

76610 = 2¹ × 5¹ × 47¹ × 163¹

Step-3: Factors of 76590

List of positive integer factors of 76590 that divides 76590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 37, 45, 46, 69, 74, 90, 111, 115, 138, 185, 207, 222, 230, 333, 345, 370, 414, 555, 666, 690, 851, 1035, 1110, 1665, 1702, 2070, 2553, 3330, 4255, 5106, 7659, 8510, 12765, 15318, 25530, 38295

Step-4: Factors of 76610

List of positive integer factors of 76610 that divides 76590 without a remainder.

1, 2, 5, 10, 47, 94, 163, 235, 326, 470, 815, 1630, 7661, 15322, 38305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76590 and 76610. The biggest common factor number is the GCF number.
So the greatest common factor 76590 and 76610 is 10.

Also check out the Least Common Multiple of 76590 and 76610