What is the Greatest Common Factor of 48464 and 48478?

Greatest common factor (GCF) of 48464 and 48478 is 2.

GCF(48464,48478) = 2

We will now calculate the prime factors of 48464 and 48478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48464 and 48478.

How to find the GCF of 48464 and 48478?

We will first find the prime factorization of 48464 and 48478. After we will calculate the factors of 48464 and 48478 and find the biggest common factor number .

Step-1: Prime Factorization of 48464

Prime factors of 48464 are 2, 13, 233. Prime factorization of 48464 in exponential form is:

48464 = 2⁴ × 13¹ × 233¹

Step-2: Prime Factorization of 48478

Prime factors of 48478 are 2, 24239. Prime factorization of 48478 in exponential form is:

48478 = 2¹ × 24239¹

Step-3: Factors of 48464

List of positive integer factors of 48464 that divides 48464 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 233, 466, 932, 1864, 3029, 3728, 6058, 12116, 24232

Step-4: Factors of 48478

List of positive integer factors of 48478 that divides 48464 without a remainder.

1, 2, 24239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48464 and 48478. The biggest common factor number is the GCF number.
So the greatest common factor 48464 and 48478 is 2.

Also check out the Least Common Multiple of 48464 and 48478