What is the Greatest Common Factor of 48435 and 48442?

Greatest common factor (GCF) of 48435 and 48442 is 1.

GCF(48435,48442) = 1

We will now calculate the prime factors of 48435 and 48442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48435 and 48442.

How to find the GCF of 48435 and 48442?

We will first find the prime factorization of 48435 and 48442. After we will calculate the factors of 48435 and 48442 and find the biggest common factor number .

Step-1: Prime Factorization of 48435

Prime factors of 48435 are 3, 5, 3229. Prime factorization of 48435 in exponential form is:

48435 = 3¹ × 5¹ × 3229¹

Step-2: Prime Factorization of 48442

Prime factors of 48442 are 2, 53, 457. Prime factorization of 48442 in exponential form is:

48442 = 2¹ × 53¹ × 457¹

Step-3: Factors of 48435

List of positive integer factors of 48435 that divides 48435 without a remainder.

1, 3, 5, 15, 3229, 9687, 16145

Step-4: Factors of 48442

List of positive integer factors of 48442 that divides 48435 without a remainder.

1, 2, 53, 106, 457, 914, 24221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48435 and 48442. The biggest common factor number is the GCF number.
So the greatest common factor 48435 and 48442 is 1.

Also check out the Least Common Multiple of 48435 and 48442