What is the Greatest Common Factor of 32062 and 32080?

Greatest common factor (GCF) of 32062 and 32080 is 2.

GCF(32062,32080) = 2

We will now calculate the prime factors of 32062 and 32080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32062 and 32080.

How to find the GCF of 32062 and 32080?

We will first find the prime factorization of 32062 and 32080. After we will calculate the factors of 32062 and 32080 and find the biggest common factor number .

Step-1: Prime Factorization of 32062

Prime factors of 32062 are 2, 17, 23, 41. Prime factorization of 32062 in exponential form is:

32062 = 2¹ × 17¹ × 23¹ × 41¹

Step-2: Prime Factorization of 32080

Prime factors of 32080 are 2, 5, 401. Prime factorization of 32080 in exponential form is:

32080 = 2⁴ × 5¹ × 401¹

Step-3: Factors of 32062

List of positive integer factors of 32062 that divides 32062 without a remainder.

1, 2, 17, 23, 34, 41, 46, 82, 391, 697, 782, 943, 1394, 1886, 16031

Step-4: Factors of 32080

List of positive integer factors of 32080 that divides 32062 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 401, 802, 1604, 2005, 3208, 4010, 6416, 8020, 16040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32062 and 32080. The biggest common factor number is the GCF number.
So the greatest common factor 32062 and 32080 is 2.

Also check out the Least Common Multiple of 32062 and 32080