What is the Greatest Common Factor of 22750 and 22770?

Greatest common factor (GCF) of 22750 and 22770 is 10.

GCF(22750,22770) = 10

We will now calculate the prime factors of 22750 and 22770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22750 and 22770.

How to find the GCF of 22750 and 22770?

We will first find the prime factorization of 22750 and 22770. After we will calculate the factors of 22750 and 22770 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 22770

Prime factors of 22770 are 2, 3, 5, 11, 23. Prime factorization of 22770 in exponential form is:

22770 = 2¹ × 3² × 5¹ × 11¹ × 23¹

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 22770

List of positive integer factors of 22770 that divides 22750 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 23, 30, 33, 45, 46, 55, 66, 69, 90, 99, 110, 115, 138, 165, 198, 207, 230, 253, 330, 345, 414, 495, 506, 690, 759, 990, 1035, 1265, 1518, 2070, 2277, 2530, 3795, 4554, 7590, 11385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22750 and 22770. The biggest common factor number is the GCF number.
So the greatest common factor 22750 and 22770 is 10.

Also check out the Least Common Multiple of 22750 and 22770