What is the Greatest Common Factor of 32020 and 32040?

Greatest common factor (GCF) of 32020 and 32040 is 20.

GCF(32020,32040) = 20

We will now calculate the prime factors of 32020 and 32040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32020 and 32040.

How to find the GCF of 32020 and 32040?

We will first find the prime factorization of 32020 and 32040. After we will calculate the factors of 32020 and 32040 and find the biggest common factor number .

Step-1: Prime Factorization of 32020

Prime factors of 32020 are 2, 5, 1601. Prime factorization of 32020 in exponential form is:

32020 = 2² × 5¹ × 1601¹

Step-2: Prime Factorization of 32040

Prime factors of 32040 are 2, 3, 5, 89. Prime factorization of 32040 in exponential form is:

32040 = 2³ × 3² × 5¹ × 89¹

Step-3: Factors of 32020

List of positive integer factors of 32020 that divides 32020 without a remainder.

1, 2, 4, 5, 10, 20, 1601, 3202, 6404, 8005, 16010

Step-4: Factors of 32040

List of positive integer factors of 32040 that divides 32020 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32020 and 32040. The biggest common factor number is the GCF number.
So the greatest common factor 32020 and 32040 is 20.

Also check out the Least Common Multiple of 32020 and 32040