What is the Greatest Common Factor of 49674 and 49691?

Greatest common factor (GCF) of 49674 and 49691 is 17.

GCF(49674,49691) = 17

We will now calculate the prime factors of 49674 and 49691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49674 and 49691.

How to find the GCF of 49674 and 49691?

We will first find the prime factorization of 49674 and 49691. After we will calculate the factors of 49674 and 49691 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49691

Prime factors of 49691 are 17, 37, 79. Prime factorization of 49691 in exponential form is:

49691 = 17¹ × 37¹ × 79¹

Step-3: Factors of 49674

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

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

Step-4: Factors of 49691

List of positive integer factors of 49691 that divides 49674 without a remainder.

1, 17, 37, 79, 629, 1343, 2923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49674 and 49691. The biggest common factor number is the GCF number.
So the greatest common factor 49674 and 49691 is 17.

Also check out the Least Common Multiple of 49674 and 49691