What is the Greatest Common Factor of 63075 and 63080?

Greatest common factor (GCF) of 63075 and 63080 is 5.

GCF(63075,63080) = 5

We will now calculate the prime factors of 63075 and 63080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63075 and 63080.

How to find the GCF of 63075 and 63080?

We will first find the prime factorization of 63075 and 63080. After we will calculate the factors of 63075 and 63080 and find the biggest common factor number .

Step-1: Prime Factorization of 63075

Prime factors of 63075 are 3, 5, 29. Prime factorization of 63075 in exponential form is:

63075 = 3¹ × 5² × 29²

Step-2: Prime Factorization of 63080

Prime factors of 63080 are 2, 5, 19, 83. Prime factorization of 63080 in exponential form is:

63080 = 2³ × 5¹ × 19¹ × 83¹

Step-3: Factors of 63075

List of positive integer factors of 63075 that divides 63075 without a remainder.

1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 841, 2175, 2523, 4205, 12615, 21025

Step-4: Factors of 63080

List of positive integer factors of 63080 that divides 63075 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 83, 95, 152, 166, 190, 332, 380, 415, 664, 760, 830, 1577, 1660, 3154, 3320, 6308, 7885, 12616, 15770, 31540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63075 and 63080. The biggest common factor number is the GCF number.
So the greatest common factor 63075 and 63080 is 5.

Also check out the Least Common Multiple of 63075 and 63080