What is the Greatest Common Factor of 51658 and 51674?

Greatest common factor (GCF) of 51658 and 51674 is 2.

GCF(51658,51674) = 2

We will now calculate the prime factors of 51658 and 51674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51658 and 51674.

How to find the GCF of 51658 and 51674?

We will first find the prime factorization of 51658 and 51674. After we will calculate the factors of 51658 and 51674 and find the biggest common factor number .

Step-1: Prime Factorization of 51658

Prime factors of 51658 are 2, 23, 1123. Prime factorization of 51658 in exponential form is:

51658 = 2¹ × 23¹ × 1123¹

Step-2: Prime Factorization of 51674

Prime factors of 51674 are 2, 7, 3691. Prime factorization of 51674 in exponential form is:

51674 = 2¹ × 7¹ × 3691¹

Step-3: Factors of 51658

List of positive integer factors of 51658 that divides 51658 without a remainder.

1, 2, 23, 46, 1123, 2246, 25829

Step-4: Factors of 51674

List of positive integer factors of 51674 that divides 51658 without a remainder.

1, 2, 7, 14, 3691, 7382, 25837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51658 and 51674. The biggest common factor number is the GCF number.
So the greatest common factor 51658 and 51674 is 2.

Also check out the Least Common Multiple of 51658 and 51674