What is the Greatest Common Factor of 32032 and 32048?

Greatest common factor (GCF) of 32032 and 32048 is 16.

GCF(32032,32048) = 16

We will now calculate the prime factors of 32032 and 32048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32032 and 32048.

How to find the GCF of 32032 and 32048?

We will first find the prime factorization of 32032 and 32048. After we will calculate the factors of 32032 and 32048 and find the biggest common factor number .

Step-1: Prime Factorization of 32032

Prime factors of 32032 are 2, 7, 11, 13. Prime factorization of 32032 in exponential form is:

32032 = 2⁵ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 32048

Prime factors of 32048 are 2, 2003. Prime factorization of 32048 in exponential form is:

32048 = 2⁴ × 2003¹

Step-3: Factors of 32032

List of positive integer factors of 32032 that divides 32032 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56, 77, 88, 91, 104, 112, 143, 154, 176, 182, 208, 224, 286, 308, 352, 364, 416, 572, 616, 728, 1001, 1144, 1232, 1456, 2002, 2288, 2464, 2912, 4004, 4576, 8008, 16016

Step-4: Factors of 32048

List of positive integer factors of 32048 that divides 32032 without a remainder.

1, 2, 4, 8, 16, 2003, 4006, 8012, 16024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32032 and 32048. The biggest common factor number is the GCF number.
So the greatest common factor 32032 and 32048 is 16.

Also check out the Least Common Multiple of 32032 and 32048