What is the Greatest Common Factor of 90750 and 90761?

Greatest common factor (GCF) of 90750 and 90761 is 11.

GCF(90750,90761) = 11

We will now calculate the prime factors of 90750 and 90761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90750 and 90761.

How to find the GCF of 90750 and 90761?

We will first find the prime factorization of 90750 and 90761. After we will calculate the factors of 90750 and 90761 and find the biggest common factor number .

Step-1: Prime Factorization of 90750

Prime factors of 90750 are 2, 3, 5, 11. Prime factorization of 90750 in exponential form is:

90750 = 2¹ × 3¹ × 5³ × 11²

Step-2: Prime Factorization of 90761

Prime factors of 90761 are 11, 37, 223. Prime factorization of 90761 in exponential form is:

90761 = 11¹ × 37¹ × 223¹

Step-3: Factors of 90750

List of positive integer factors of 90750 that divides 90750 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 121, 125, 150, 165, 242, 250, 275, 330, 363, 375, 550, 605, 726, 750, 825, 1210, 1375, 1650, 1815, 2750, 3025, 3630, 4125, 6050, 8250, 9075, 15125, 18150, 30250, 45375

Step-4: Factors of 90761

List of positive integer factors of 90761 that divides 90750 without a remainder.

1, 11, 37, 223, 407, 2453, 8251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90750 and 90761. The biggest common factor number is the GCF number.
So the greatest common factor 90750 and 90761 is 11.

Also check out the Least Common Multiple of 90750 and 90761