What is the Greatest Common Factor of 22750 and 22763?

Greatest common factor (GCF) of 22750 and 22763 is 13.

GCF(22750,22763) = 13

We will now calculate the prime factors of 22750 and 22763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22750 and 22763.

How to find the GCF of 22750 and 22763?

We will first find the prime factorization of 22750 and 22763. After we will calculate the factors of 22750 and 22763 and find the biggest common factor number .

Step-1: Prime Factorization of 22750

Prime factors of 22750 are 2, 5, 7, 13. Prime factorization of 22750 in exponential form is:

22750 = 2¹ × 5³ × 7¹ × 13¹

Step-2: Prime Factorization of 22763

Prime factors of 22763 are 13, 17, 103. Prime factorization of 22763 in exponential form is:

22763 = 13¹ × 17¹ × 103¹

Step-3: Factors of 22750

List of positive integer factors of 22750 that divides 22750 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 125, 130, 175, 182, 250, 325, 350, 455, 650, 875, 910, 1625, 1750, 2275, 3250, 4550, 11375

Step-4: Factors of 22763

List of positive integer factors of 22763 that divides 22750 without a remainder.

1, 13, 17, 103, 221, 1339, 1751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22750 and 22763. The biggest common factor number is the GCF number.
So the greatest common factor 22750 and 22763 is 13.

Also check out the Least Common Multiple of 22750 and 22763