What is the Greatest Common Factor of 23522 and 23528?

Greatest common factor (GCF) of 23522 and 23528 is 2.

GCF(23522,23528) = 2

We will now calculate the prime factors of 23522 and 23528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23522 and 23528.

How to find the GCF of 23522 and 23528?

We will first find the prime factorization of 23522 and 23528. After we will calculate the factors of 23522 and 23528 and find the biggest common factor number .

Step-1: Prime Factorization of 23522

Prime factors of 23522 are 2, 19, 619. Prime factorization of 23522 in exponential form is:

23522 = 2¹ × 19¹ × 619¹

Step-2: Prime Factorization of 23528

Prime factors of 23528 are 2, 17, 173. Prime factorization of 23528 in exponential form is:

23528 = 2³ × 17¹ × 173¹

Step-3: Factors of 23522

List of positive integer factors of 23522 that divides 23522 without a remainder.

1, 2, 19, 38, 619, 1238, 11761

Step-4: Factors of 23528

List of positive integer factors of 23528 that divides 23522 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 173, 346, 692, 1384, 2941, 5882, 11764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23522 and 23528. The biggest common factor number is the GCF number.
So the greatest common factor 23522 and 23528 is 2.

Also check out the Least Common Multiple of 23522 and 23528