What is the Greatest Common Factor of 49657 and 49674?

Greatest common factor (GCF) of 49657 and 49674 is 17.

GCF(49657,49674) = 17

We will now calculate the prime factors of 49657 and 49674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49657 and 49674.

How to find the GCF of 49657 and 49674?

We will first find the prime factorization of 49657 and 49674. After we will calculate the factors of 49657 and 49674 and find the biggest common factor number .

Step-1: Prime Factorization of 49657

Prime factors of 49657 are 17, 23, 127. Prime factorization of 49657 in exponential form is:

49657 = 17¹ × 23¹ × 127¹

Step-2: Prime Factorization of 49674

Prime factors of 49674 are 2, 3, 17, 487. Prime factorization of 49674 in exponential form is:

49674 = 2¹ × 3¹ × 17¹ × 487¹

Step-3: Factors of 49657

List of positive integer factors of 49657 that divides 49657 without a remainder.

1, 17, 23, 127, 391, 2159, 2921

Step-4: Factors of 49674

List of positive integer factors of 49674 that divides 49657 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 487, 974, 1461, 2922, 8279, 16558, 24837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49657 and 49674. The biggest common factor number is the GCF number.
So the greatest common factor 49657 and 49674 is 17.

Also check out the Least Common Multiple of 49657 and 49674