What is the Greatest Common Factor of 47362 and 47379?

Greatest common factor (GCF) of 47362 and 47379 is 17.

GCF(47362,47379) = 17

We will now calculate the prime factors of 47362 and 47379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47362 and 47379.

How to find the GCF of 47362 and 47379?

We will first find the prime factorization of 47362 and 47379. After we will calculate the factors of 47362 and 47379 and find the biggest common factor number .

Step-1: Prime Factorization of 47362

Prime factors of 47362 are 2, 7, 17, 199. Prime factorization of 47362 in exponential form is:

47362 = 2¹ × 7¹ × 17¹ × 199¹

Step-2: Prime Factorization of 47379

Prime factors of 47379 are 3, 17, 929. Prime factorization of 47379 in exponential form is:

47379 = 3¹ × 17¹ × 929¹

Step-3: Factors of 47362

List of positive integer factors of 47362 that divides 47362 without a remainder.

1, 2, 7, 14, 17, 34, 119, 199, 238, 398, 1393, 2786, 3383, 6766, 23681

Step-4: Factors of 47379

List of positive integer factors of 47379 that divides 47362 without a remainder.

1, 3, 17, 51, 929, 2787, 15793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47362 and 47379. The biggest common factor number is the GCF number.
So the greatest common factor 47362 and 47379 is 17.

Also check out the Least Common Multiple of 47362 and 47379