What is the Greatest Common Factor of 32054 and 32070?

Greatest common factor (GCF) of 32054 and 32070 is 2.

GCF(32054,32070) = 2

We will now calculate the prime factors of 32054 and 32070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32054 and 32070.

How to find the GCF of 32054 and 32070?

We will first find the prime factorization of 32054 and 32070. After we will calculate the factors of 32054 and 32070 and find the biggest common factor number .

Step-1: Prime Factorization of 32054

Prime factors of 32054 are 2, 11, 31, 47. Prime factorization of 32054 in exponential form is:

32054 = 2¹ × 11¹ × 31¹ × 47¹

Step-2: 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-3: Factors of 32054

List of positive integer factors of 32054 that divides 32054 without a remainder.

1, 2, 11, 22, 31, 47, 62, 94, 341, 517, 682, 1034, 1457, 2914, 16027

Step-4: Factors of 32070

List of positive integer factors of 32070 that divides 32054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32054 and 32070. The biggest common factor number is the GCF number.
So the greatest common factor 32054 and 32070 is 2.

Also check out the Least Common Multiple of 32054 and 32070