What is the Greatest Common Factor of 42448 and 42465?

Greatest common factor (GCF) of 42448 and 42465 is 1.

GCF(42448,42465) = 1

We will now calculate the prime factors of 42448 and 42465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42448 and 42465.

How to find the GCF of 42448 and 42465?

We will first find the prime factorization of 42448 and 42465. After we will calculate the factors of 42448 and 42465 and find the biggest common factor number .

Step-1: Prime Factorization of 42448

Prime factors of 42448 are 2, 7, 379. Prime factorization of 42448 in exponential form is:

42448 = 2⁴ × 7¹ × 379¹

Step-2: 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-3: Factors of 42448

List of positive integer factors of 42448 that divides 42448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 379, 758, 1516, 2653, 3032, 5306, 6064, 10612, 21224

Step-4: Factors of 42465

List of positive integer factors of 42465 that divides 42448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42448 and 42465. The biggest common factor number is the GCF number.
So the greatest common factor 42448 and 42465 is 1.

Also check out the Least Common Multiple of 42448 and 42465