What is the Greatest Common Factor of 48832 and 48846?

Greatest common factor (GCF) of 48832 and 48846 is 14.

GCF(48832,48846) = 14

We will now calculate the prime factors of 48832 and 48846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48832 and 48846.

How to find the GCF of 48832 and 48846?

We will first find the prime factorization of 48832 and 48846. After we will calculate the factors of 48832 and 48846 and find the biggest common factor number .

Step-1: Prime Factorization of 48832

Prime factors of 48832 are 2, 7, 109. Prime factorization of 48832 in exponential form is:

48832 = 2⁶ × 7¹ × 109¹

Step-2: Prime Factorization of 48846

Prime factors of 48846 are 2, 3, 7, 1163. Prime factorization of 48846 in exponential form is:

48846 = 2¹ × 3¹ × 7¹ × 1163¹

Step-3: Factors of 48832

List of positive integer factors of 48832 that divides 48832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 218, 224, 436, 448, 763, 872, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 24416

Step-4: Factors of 48846

List of positive integer factors of 48846 that divides 48832 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1163, 2326, 3489, 6978, 8141, 16282, 24423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48832 and 48846. The biggest common factor number is the GCF number.
So the greatest common factor 48832 and 48846 is 14.

Also check out the Least Common Multiple of 48832 and 48846