What is the Greatest Common Factor of 45875 and 45885?

Greatest common factor (GCF) of 45875 and 45885 is 5.

GCF(45875,45885) = 5

We will now calculate the prime factors of 45875 and 45885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45875 and 45885.

How to find the GCF of 45875 and 45885?

We will first find the prime factorization of 45875 and 45885. After we will calculate the factors of 45875 and 45885 and find the biggest common factor number .

Step-1: Prime Factorization of 45875

Prime factors of 45875 are 5, 367. Prime factorization of 45875 in exponential form is:

45875 = 5³ × 367¹

Step-2: Prime Factorization of 45885

Prime factors of 45885 are 3, 5, 7, 19, 23. Prime factorization of 45885 in exponential form is:

45885 = 3¹ × 5¹ × 7¹ × 19¹ × 23¹

Step-3: Factors of 45875

List of positive integer factors of 45875 that divides 45875 without a remainder.

1, 5, 25, 125, 367, 1835, 9175

Step-4: Factors of 45885

List of positive integer factors of 45885 that divides 45875 without a remainder.

1, 3, 5, 7, 15, 19, 21, 23, 35, 57, 69, 95, 105, 115, 133, 161, 285, 345, 399, 437, 483, 665, 805, 1311, 1995, 2185, 2415, 3059, 6555, 9177, 15295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45875 and 45885. The biggest common factor number is the GCF number.
So the greatest common factor 45875 and 45885 is 5.

Also check out the Least Common Multiple of 45875 and 45885