What is the Greatest Common Factor of 22748 and 22762?

Greatest common factor (GCF) of 22748 and 22762 is 2.

GCF(22748,22762) = 2

We will now calculate the prime factors of 22748 and 22762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22748 and 22762.

How to find the GCF of 22748 and 22762?

We will first find the prime factorization of 22748 and 22762. After we will calculate the factors of 22748 and 22762 and find the biggest common factor number .

Step-1: Prime Factorization of 22748

Prime factors of 22748 are 2, 11, 47. Prime factorization of 22748 in exponential form is:

22748 = 2² × 11² × 47¹

Step-2: Prime Factorization of 22762

Prime factors of 22762 are 2, 19, 599. Prime factorization of 22762 in exponential form is:

22762 = 2¹ × 19¹ × 599¹

Step-3: Factors of 22748

List of positive integer factors of 22748 that divides 22748 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 121, 188, 242, 484, 517, 1034, 2068, 5687, 11374

Step-4: Factors of 22762

List of positive integer factors of 22762 that divides 22748 without a remainder.

1, 2, 19, 38, 599, 1198, 11381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22748 and 22762. The biggest common factor number is the GCF number.
So the greatest common factor 22748 and 22762 is 2.

Also check out the Least Common Multiple of 22748 and 22762