What is the Greatest Common Factor of 76574 and 76590?

Greatest common factor (GCF) of 76574 and 76590 is 2.

GCF(76574,76590) = 2

We will now calculate the prime factors of 76574 and 76590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76574 and 76590.

How to find the GCF of 76574 and 76590?

We will first find the prime factorization of 76574 and 76590. After we will calculate the factors of 76574 and 76590 and find the biggest common factor number .

Step-1: Prime Factorization of 76574

Prime factors of 76574 are 2, 38287. Prime factorization of 76574 in exponential form is:

76574 = 2¹ × 38287¹

Step-2: 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-3: Factors of 76574

List of positive integer factors of 76574 that divides 76574 without a remainder.

1, 2, 38287

Step-4: Factors of 76590

List of positive integer factors of 76590 that divides 76574 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76574 and 76590. The biggest common factor number is the GCF number.
So the greatest common factor 76574 and 76590 is 2.

Also check out the Least Common Multiple of 76574 and 76590