What is the Greatest Common Factor of 42465 and 42477?

Greatest common factor (GCF) of 42465 and 42477 is 3.

GCF(42465,42477) = 3

We will now calculate the prime factors of 42465 and 42477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42465 and 42477.

How to find the GCF of 42465 and 42477?

We will first find the prime factorization of 42465 and 42477. After we will calculate the factors of 42465 and 42477 and find the biggest common factor number .

Step-1: Prime Factorization of 42465

Prime factors of 42465 are 3, 5, 19, 149. Prime factorization of 42465 in exponential form is:

42465 = 3¹ × 5¹ × 19¹ × 149¹

Step-2: Prime Factorization of 42477

Prime factors of 42477 are 3, 14159. Prime factorization of 42477 in exponential form is:

42477 = 3¹ × 14159¹

Step-3: Factors of 42465

List of positive integer factors of 42465 that divides 42465 without a remainder.

1, 3, 5, 15, 19, 57, 95, 149, 285, 447, 745, 2235, 2831, 8493, 14155

Step-4: Factors of 42477

List of positive integer factors of 42477 that divides 42465 without a remainder.

1, 3, 14159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42465 and 42477. The biggest common factor number is the GCF number.
So the greatest common factor 42465 and 42477 is 3.

Also check out the Least Common Multiple of 42465 and 42477