What is the Greatest Common Factor of 48454 and 48462?

Greatest common factor (GCF) of 48454 and 48462 is 2.

GCF(48454,48462) = 2

We will now calculate the prime factors of 48454 and 48462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48454 and 48462.

How to find the GCF of 48454 and 48462?

We will first find the prime factorization of 48454 and 48462. After we will calculate the factors of 48454 and 48462 and find the biggest common factor number .

Step-1: Prime Factorization of 48454

Prime factors of 48454 are 2, 7, 3461. Prime factorization of 48454 in exponential form is:

48454 = 2¹ × 7¹ × 3461¹

Step-2: Prime Factorization of 48462

Prime factors of 48462 are 2, 3, 41, 197. Prime factorization of 48462 in exponential form is:

48462 = 2¹ × 3¹ × 41¹ × 197¹

Step-3: Factors of 48454

List of positive integer factors of 48454 that divides 48454 without a remainder.

1, 2, 7, 14, 3461, 6922, 24227

Step-4: Factors of 48462

List of positive integer factors of 48462 that divides 48454 without a remainder.

1, 2, 3, 6, 41, 82, 123, 197, 246, 394, 591, 1182, 8077, 16154, 24231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48454 and 48462. The biggest common factor number is the GCF number.
So the greatest common factor 48454 and 48462 is 2.

Also check out the Least Common Multiple of 48454 and 48462