What is the Greatest Common Factor of 15232 and 15248?

Greatest common factor (GCF) of 15232 and 15248 is 16.

GCF(15232,15248) = 16

We will now calculate the prime factors of 15232 and 15248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15232 and 15248.

How to find the GCF of 15232 and 15248?

We will first find the prime factorization of 15232 and 15248. After we will calculate the factors of 15232 and 15248 and find the biggest common factor number .

Step-1: Prime Factorization of 15232

Prime factors of 15232 are 2, 7, 17. Prime factorization of 15232 in exponential form is:

15232 = 2⁷ × 7¹ × 17¹

Step-2: Prime Factorization of 15248

Prime factors of 15248 are 2, 953. Prime factorization of 15248 in exponential form is:

15248 = 2⁴ × 953¹

Step-3: Factors of 15232

List of positive integer factors of 15232 that divides 15232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616

Step-4: Factors of 15248

List of positive integer factors of 15248 that divides 15232 without a remainder.

1, 2, 4, 8, 16, 953, 1906, 3812, 7624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15232 and 15248. The biggest common factor number is the GCF number.
So the greatest common factor 15232 and 15248 is 16.

Also check out the Least Common Multiple of 15232 and 15248