What is the Greatest Common Factor of 15514 and 15522?

Greatest common factor (GCF) of 15514 and 15522 is 2.

GCF(15514,15522) = 2

We will now calculate the prime factors of 15514 and 15522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15514 and 15522.

How to find the GCF of 15514 and 15522?

We will first find the prime factorization of 15514 and 15522. After we will calculate the factors of 15514 and 15522 and find the biggest common factor number .

Step-1: Prime Factorization of 15514

Prime factors of 15514 are 2, 7757. Prime factorization of 15514 in exponential form is:

15514 = 2¹ × 7757¹

Step-2: 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-3: Factors of 15514

List of positive integer factors of 15514 that divides 15514 without a remainder.

1, 2, 7757

Step-4: Factors of 15522

List of positive integer factors of 15522 that divides 15514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15514 and 15522. The biggest common factor number is the GCF number.
So the greatest common factor 15514 and 15522 is 2.

Also check out the Least Common Multiple of 15514 and 15522