What is the Greatest Common Factor of 32070 and 32076?

Greatest common factor (GCF) of 32070 and 32076 is 6.

GCF(32070,32076) = 6

We will now calculate the prime factors of 32070 and 32076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32070 and 32076.

How to find the GCF of 32070 and 32076?

We will first find the prime factorization of 32070 and 32076. After we will calculate the factors of 32070 and 32076 and find the biggest common factor number .

Step-1: Prime Factorization of 32070

Prime factors of 32070 are 2, 3, 5, 1069. Prime factorization of 32070 in exponential form is:

32070 = 2¹ × 3¹ × 5¹ × 1069¹

Step-2: 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-3: Factors of 32070

List of positive integer factors of 32070 that divides 32070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1069, 2138, 3207, 5345, 6414, 10690, 16035

Step-4: Factors of 32076

List of positive integer factors of 32076 that divides 32070 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32070 and 32076. The biggest common factor number is the GCF number.
So the greatest common factor 32070 and 32076 is 6.

Also check out the Least Common Multiple of 32070 and 32076