What is the Greatest Common Factor of 32072 and 32091?

Greatest common factor (GCF) of 32072 and 32091 is 19.

GCF(32072,32091) = 19

We will now calculate the prime factors of 32072 and 32091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32072 and 32091.

How to find the GCF of 32072 and 32091?

We will first find the prime factorization of 32072 and 32091. After we will calculate the factors of 32072 and 32091 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32091

Prime factors of 32091 are 3, 19, 563. Prime factorization of 32091 in exponential form is:

32091 = 3¹ × 19¹ × 563¹

Step-3: Factors of 32072

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

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

Step-4: Factors of 32091

List of positive integer factors of 32091 that divides 32072 without a remainder.

1, 3, 19, 57, 563, 1689, 10697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32072 and 32091. The biggest common factor number is the GCF number.
So the greatest common factor 32072 and 32091 is 19.

Also check out the Least Common Multiple of 32072 and 32091