GCF and LCM Calculator Logo

What is the Greatest Common Factor of 47789 and 47802?

Greatest common factor (GCF) of 47789 and 47802 is 1.

GCF(47789,47802) = 1

We will now calculate the prime factors of 47789 and 47802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47789 and 47802.

GCF Calculator and
and

How to find the GCF of 47789 and 47802?

We will first find the prime factorization of 47789 and 47802. After we will calculate the factors of 47789 and 47802 and find the biggest common factor number .

Step-1: Prime Factorization of 47789

Prime factors of 47789 are 7, 6827. Prime factorization of 47789 in exponential form is:

47789 = 71 × 68271

Step-2: Prime Factorization of 47802

Prime factors of 47802 are 2, 3, 31, 257. Prime factorization of 47802 in exponential form is:

47802 = 21 × 31 × 311 × 2571

Step-3: Factors of 47789

List of positive integer factors of 47789 that divides 47789 without a remainder.

1, 7, 6827

Step-4: Factors of 47802

List of positive integer factors of 47802 that divides 47789 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47789 and 47802. The biggest common factor number is the GCF number.
So the greatest common factor 47789 and 47802 is 1.

Also check out the Least Common Multiple of 47789 and 47802