What is the Greatest Common Factor of 75639 and 75645?

Greatest common factor (GCF) of 75639 and 75645 is 3.

GCF(75639,75645) = 3

We will now calculate the prime factors of 75639 and 75645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75639 and 75645.

How to find the GCF of 75639 and 75645?

We will first find the prime factorization of 75639 and 75645. After we will calculate the factors of 75639 and 75645 and find the biggest common factor number .

Step-1: Prime Factorization of 75639

Prime factors of 75639 are 3, 19, 1327. Prime factorization of 75639 in exponential form is:

75639 = 3¹ × 19¹ × 1327¹

Step-2: Prime Factorization of 75645

Prime factors of 75645 are 3, 5, 41. Prime factorization of 75645 in exponential form is:

75645 = 3² × 5¹ × 41²

Step-3: Factors of 75639

List of positive integer factors of 75639 that divides 75639 without a remainder.

1, 3, 19, 57, 1327, 3981, 25213

Step-4: Factors of 75645

List of positive integer factors of 75645 that divides 75639 without a remainder.

1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1681, 1845, 5043, 8405, 15129, 25215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75639 and 75645. The biggest common factor number is the GCF number.
So the greatest common factor 75639 and 75645 is 3.

Also check out the Least Common Multiple of 75639 and 75645