What is the Greatest Common Factor of 42075 and 42080?

Greatest common factor (GCF) of 42075 and 42080 is 5.

GCF(42075,42080) = 5

We will now calculate the prime factors of 42075 and 42080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42075 and 42080.

How to find the GCF of 42075 and 42080?

We will first find the prime factorization of 42075 and 42080. After we will calculate the factors of 42075 and 42080 and find the biggest common factor number .

Step-1: Prime Factorization of 42075

Prime factors of 42075 are 3, 5, 11, 17. Prime factorization of 42075 in exponential form is:

42075 = 3² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 42080

Prime factors of 42080 are 2, 5, 263. Prime factorization of 42080 in exponential form is:

42080 = 2⁵ × 5¹ × 263¹

Step-3: Factors of 42075

List of positive integer factors of 42075 that divides 42075 without a remainder.

1, 3, 5, 9, 11, 15, 17, 25, 33, 45, 51, 55, 75, 85, 99, 153, 165, 187, 225, 255, 275, 425, 495, 561, 765, 825, 935, 1275, 1683, 2475, 2805, 3825, 4675, 8415, 14025

Step-4: Factors of 42080

List of positive integer factors of 42080 that divides 42075 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 263, 526, 1052, 1315, 2104, 2630, 4208, 5260, 8416, 10520, 21040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42075 and 42080. The biggest common factor number is the GCF number.
So the greatest common factor 42075 and 42080 is 5.

Also check out the Least Common Multiple of 42075 and 42080