What is the Greatest Common Factor of 48846 and 48856?

Greatest common factor (GCF) of 48846 and 48856 is 2.

GCF(48846,48856) = 2

We will now calculate the prime factors of 48846 and 48856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48846 and 48856.

How to find the GCF of 48846 and 48856?

We will first find the prime factorization of 48846 and 48856. After we will calculate the factors of 48846 and 48856 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48856

Prime factors of 48856 are 2, 31, 197. Prime factorization of 48856 in exponential form is:

48856 = 2³ × 31¹ × 197¹

Step-3: Factors of 48846

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

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

Step-4: Factors of 48856

List of positive integer factors of 48856 that divides 48846 without a remainder.

1, 2, 4, 8, 31, 62, 124, 197, 248, 394, 788, 1576, 6107, 12214, 24428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48846 and 48856. The biggest common factor number is the GCF number.
So the greatest common factor 48846 and 48856 is 2.

Also check out the Least Common Multiple of 48846 and 48856