What is the Greatest Common Factor of 48464 and 48470?

Greatest common factor (GCF) of 48464 and 48470 is 2.

GCF(48464,48470) = 2

We will now calculate the prime factors of 48464 and 48470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48464 and 48470.

How to find the GCF of 48464 and 48470?

We will first find the prime factorization of 48464 and 48470. After we will calculate the factors of 48464 and 48470 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 48470

Prime factors of 48470 are 2, 5, 37, 131. Prime factorization of 48470 in exponential form is:

48470 = 2¹ × 5¹ × 37¹ × 131¹

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 48470

List of positive integer factors of 48470 that divides 48464 without a remainder.

1, 2, 5, 10, 37, 74, 131, 185, 262, 370, 655, 1310, 4847, 9694, 24235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48464 and 48470. The biggest common factor number is the GCF number.
So the greatest common factor 48464 and 48470 is 2.

Also check out the Least Common Multiple of 48464 and 48470