What is the Greatest Common Factor of 47796 and 47801?

Greatest common factor (GCF) of 47796 and 47801 is 1.

GCF(47796,47801) = 1

We will now calculate the prime factors of 47796 and 47801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47796 and 47801.

How to find the GCF of 47796 and 47801?

We will first find the prime factorization of 47796 and 47801. After we will calculate the factors of 47796 and 47801 and find the biggest common factor number .

Step-1: Prime Factorization of 47796

Prime factors of 47796 are 2, 3, 7, 569. Prime factorization of 47796 in exponential form is:

47796 = 2² × 3¹ × 7¹ × 569¹

Step-2: Prime Factorization of 47801

Prime factors of 47801 are 13, 3677. Prime factorization of 47801 in exponential form is:

47801 = 13¹ × 3677¹

Step-3: Factors of 47796

List of positive integer factors of 47796 that divides 47796 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 569, 1138, 1707, 2276, 3414, 3983, 6828, 7966, 11949, 15932, 23898

Step-4: Factors of 47801

List of positive integer factors of 47801 that divides 47796 without a remainder.

1, 13, 3677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47796 and 47801. The biggest common factor number is the GCF number.
So the greatest common factor 47796 and 47801 is 1.

Also check out the Least Common Multiple of 47796 and 47801