What is the Greatest Common Factor of 75045 and 75063?

Greatest common factor (GCF) of 75045 and 75063 is 3.

GCF(75045,75063) = 3

We will now calculate the prime factors of 75045 and 75063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75045 and 75063.

How to find the GCF of 75045 and 75063?

We will first find the prime factorization of 75045 and 75063. After we will calculate the factors of 75045 and 75063 and find the biggest common factor number .

Step-1: Prime Factorization of 75045

Prime factors of 75045 are 3, 5, 5003. Prime factorization of 75045 in exponential form is:

75045 = 3¹ × 5¹ × 5003¹

Step-2: Prime Factorization of 75063

Prime factors of 75063 are 3, 131, 191. Prime factorization of 75063 in exponential form is:

75063 = 3¹ × 131¹ × 191¹

Step-3: Factors of 75045

List of positive integer factors of 75045 that divides 75045 without a remainder.

1, 3, 5, 15, 5003, 15009, 25015

Step-4: Factors of 75063

List of positive integer factors of 75063 that divides 75045 without a remainder.

1, 3, 131, 191, 393, 573, 25021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75045 and 75063. The biggest common factor number is the GCF number.
So the greatest common factor 75045 and 75063 is 3.

Also check out the Least Common Multiple of 75045 and 75063