What is the Greatest Common Factor of 32056 and 32072?

Greatest common factor (GCF) of 32056 and 32072 is 8.

GCF(32056,32072) = 8

We will now calculate the prime factors of 32056 and 32072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32056 and 32072.

How to find the GCF of 32056 and 32072?

We will first find the prime factorization of 32056 and 32072. After we will calculate the factors of 32056 and 32072 and find the biggest common factor number .

Step-1: Prime Factorization of 32056

Prime factors of 32056 are 2, 4007. Prime factorization of 32056 in exponential form is:

32056 = 2³ × 4007¹

Step-2: Prime Factorization of 32072

Prime factors of 32072 are 2, 19, 211. Prime factorization of 32072 in exponential form is:

32072 = 2³ × 19¹ × 211¹

Step-3: Factors of 32056

List of positive integer factors of 32056 that divides 32056 without a remainder.

1, 2, 4, 8, 4007, 8014, 16028

Step-4: Factors of 32072

List of positive integer factors of 32072 that divides 32056 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 211, 422, 844, 1688, 4009, 8018, 16036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32056 and 32072. The biggest common factor number is the GCF number.
So the greatest common factor 32056 and 32072 is 8.

Also check out the Least Common Multiple of 32056 and 32072