What is the Greatest Common Factor of 47362 and 47374?

Greatest common factor (GCF) of 47362 and 47374 is 2.

GCF(47362,47374) = 2

We will now calculate the prime factors of 47362 and 47374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47362 and 47374.

How to find the GCF of 47362 and 47374?

We will first find the prime factorization of 47362 and 47374. After we will calculate the factors of 47362 and 47374 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 47374

Prime factors of 47374 are 2, 23687. Prime factorization of 47374 in exponential form is:

47374 = 2¹ × 23687¹

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 47374

List of positive integer factors of 47374 that divides 47362 without a remainder.

1, 2, 23687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47362 and 47374. The biggest common factor number is the GCF number.
So the greatest common factor 47362 and 47374 is 2.

Also check out the Least Common Multiple of 47362 and 47374