What is the Greatest Common Factor of 15752 and 15772?

Greatest common factor (GCF) of 15752 and 15772 is 4.

GCF(15752,15772) = 4

We will now calculate the prime factors of 15752 and 15772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15752 and 15772.

How to find the GCF of 15752 and 15772?

We will first find the prime factorization of 15752 and 15772. After we will calculate the factors of 15752 and 15772 and find the biggest common factor number .

Step-1: Prime Factorization of 15752

Prime factors of 15752 are 2, 11, 179. Prime factorization of 15752 in exponential form is:

15752 = 2³ × 11¹ × 179¹

Step-2: Prime Factorization of 15772

Prime factors of 15772 are 2, 3943. Prime factorization of 15772 in exponential form is:

15772 = 2² × 3943¹

Step-3: Factors of 15752

List of positive integer factors of 15752 that divides 15752 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 179, 358, 716, 1432, 1969, 3938, 7876

Step-4: Factors of 15772

List of positive integer factors of 15772 that divides 15752 without a remainder.

1, 2, 4, 3943, 7886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15752 and 15772. The biggest common factor number is the GCF number.
So the greatest common factor 15752 and 15772 is 4.

Also check out the Least Common Multiple of 15752 and 15772