What is the Greatest Common Factor of 49654 and 49674?

Greatest common factor (GCF) of 49654 and 49674 is 2.

GCF(49654,49674) = 2

We will now calculate the prime factors of 49654 and 49674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49654 and 49674.

How to find the GCF of 49654 and 49674?

We will first find the prime factorization of 49654 and 49674. After we will calculate the factors of 49654 and 49674 and find the biggest common factor number .

Step-1: Prime Factorization of 49654

Prime factors of 49654 are 2, 11, 37, 61. Prime factorization of 49654 in exponential form is:

49654 = 2¹ × 11¹ × 37¹ × 61¹

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 49654

List of positive integer factors of 49654 that divides 49654 without a remainder.

1, 2, 11, 22, 37, 61, 74, 122, 407, 671, 814, 1342, 2257, 4514, 24827

Step-4: Factors of 49674

List of positive integer factors of 49674 that divides 49654 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 49654 and 49674. The biggest common factor number is the GCF number.
So the greatest common factor 49654 and 49674 is 2.

Also check out the Least Common Multiple of 49654 and 49674