What is the Greatest Common Factor of 15522 and 15542?

Greatest common factor (GCF) of 15522 and 15542 is 2.

GCF(15522,15542) = 2

We will now calculate the prime factors of 15522 and 15542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15522 and 15542.

How to find the GCF of 15522 and 15542?

We will first find the prime factorization of 15522 and 15542. After we will calculate the factors of 15522 and 15542 and find the biggest common factor number .

Step-1: Prime Factorization of 15522

Prime factors of 15522 are 2, 3, 13, 199. Prime factorization of 15522 in exponential form is:

15522 = 2¹ × 3¹ × 13¹ × 199¹

Step-2: Prime Factorization of 15542

Prime factors of 15542 are 2, 19, 409. Prime factorization of 15542 in exponential form is:

15542 = 2¹ × 19¹ × 409¹

Step-3: Factors of 15522

List of positive integer factors of 15522 that divides 15522 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 199, 398, 597, 1194, 2587, 5174, 7761

Step-4: Factors of 15542

List of positive integer factors of 15542 that divides 15522 without a remainder.

1, 2, 19, 38, 409, 818, 7771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15522 and 15542. The biggest common factor number is the GCF number.
So the greatest common factor 15522 and 15542 is 2.

Also check out the Least Common Multiple of 15522 and 15542