What is the Greatest Common Factor of 15652 and 15664?

Greatest common factor (GCF) of 15652 and 15664 is 4.

GCF(15652,15664) = 4

We will now calculate the prime factors of 15652 and 15664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15652 and 15664.

How to find the GCF of 15652 and 15664?

We will first find the prime factorization of 15652 and 15664. After we will calculate the factors of 15652 and 15664 and find the biggest common factor number .

Step-1: Prime Factorization of 15652

Prime factors of 15652 are 2, 7, 13, 43. Prime factorization of 15652 in exponential form is:

15652 = 2² × 7¹ × 13¹ × 43¹

Step-2: Prime Factorization of 15664

Prime factors of 15664 are 2, 11, 89. Prime factorization of 15664 in exponential form is:

15664 = 2⁴ × 11¹ × 89¹

Step-3: Factors of 15652

List of positive integer factors of 15652 that divides 15652 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 43, 52, 86, 91, 172, 182, 301, 364, 559, 602, 1118, 1204, 2236, 3913, 7826

Step-4: Factors of 15664

List of positive integer factors of 15664 that divides 15652 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 89, 176, 178, 356, 712, 979, 1424, 1958, 3916, 7832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15652 and 15664. The biggest common factor number is the GCF number.
So the greatest common factor 15652 and 15664 is 4.

Also check out the Least Common Multiple of 15652 and 15664