What is the Greatest Common Factor of 32076 and 32081?

Greatest common factor (GCF) of 32076 and 32081 is 1.

GCF(32076,32081) = 1

We will now calculate the prime factors of 32076 and 32081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32076 and 32081.

How to find the GCF of 32076 and 32081?

We will first find the prime factorization of 32076 and 32081. After we will calculate the factors of 32076 and 32081 and find the biggest common factor number .

Step-1: Prime Factorization of 32076

Prime factors of 32076 are 2, 3, 11. Prime factorization of 32076 in exponential form is:

32076 = 2² × 3⁶ × 11¹

Step-2: Prime Factorization of 32081

Prime factors of 32081 are 7, 4583. Prime factorization of 32081 in exponential form is:

32081 = 7¹ × 4583¹

Step-3: Factors of 32076

List of positive integer factors of 32076 that divides 32076 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 243, 297, 324, 396, 486, 594, 729, 891, 972, 1188, 1458, 1782, 2673, 2916, 3564, 5346, 8019, 10692, 16038

Step-4: Factors of 32081

List of positive integer factors of 32081 that divides 32076 without a remainder.

1, 7, 4583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32076 and 32081. The biggest common factor number is the GCF number.
So the greatest common factor 32076 and 32081 is 1.

Also check out the Least Common Multiple of 32076 and 32081