What is the Greatest Common Factor of 22748 and 22753?

Greatest common factor (GCF) of 22748 and 22753 is 1.

GCF(22748,22753) = 1

We will now calculate the prime factors of 22748 and 22753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22748 and 22753.

How to find the GCF of 22748 and 22753?

We will first find the prime factorization of 22748 and 22753. After we will calculate the factors of 22748 and 22753 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 22753

Prime factors of 22753 are 61, 373. Prime factorization of 22753 in exponential form is:

22753 = 61¹ × 373¹

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 22753

List of positive integer factors of 22753 that divides 22748 without a remainder.

1, 61, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22748 and 22753. The biggest common factor number is the GCF number.
So the greatest common factor 22748 and 22753 is 1.

Also check out the Least Common Multiple of 22748 and 22753