What is the Greatest Common Factor of 48796 and 48803?

Greatest common factor (GCF) of 48796 and 48803 is 1.

GCF(48796,48803) = 1

We will now calculate the prime factors of 48796 and 48803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48796 and 48803.

How to find the GCF of 48796 and 48803?

We will first find the prime factorization of 48796 and 48803. After we will calculate the factors of 48796 and 48803 and find the biggest common factor number .

Step-1: Prime Factorization of 48796

Prime factors of 48796 are 2, 11, 1109. Prime factorization of 48796 in exponential form is:

48796 = 2² × 11¹ × 1109¹

Step-2: Prime Factorization of 48803

Prime factors of 48803 are 37, 1319. Prime factorization of 48803 in exponential form is:

48803 = 37¹ × 1319¹

Step-3: Factors of 48796

List of positive integer factors of 48796 that divides 48796 without a remainder.

1, 2, 4, 11, 22, 44, 1109, 2218, 4436, 12199, 24398

Step-4: Factors of 48803

List of positive integer factors of 48803 that divides 48796 without a remainder.

1, 37, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48796 and 48803. The biggest common factor number is the GCF number.
So the greatest common factor 48796 and 48803 is 1.

Also check out the Least Common Multiple of 48796 and 48803