What is the Greatest Common Factor of 49673 and 49686?

Greatest common factor (GCF) of 49673 and 49686 is 13.

GCF(49673,49686) = 13

We will now calculate the prime factors of 49673 and 49686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49673 and 49686.

How to find the GCF of 49673 and 49686?

We will first find the prime factorization of 49673 and 49686. After we will calculate the factors of 49673 and 49686 and find the biggest common factor number .

Step-1: Prime Factorization of 49673

Prime factors of 49673 are 13, 3821. Prime factorization of 49673 in exponential form is:

49673 = 13¹ × 3821¹

Step-2: Prime Factorization of 49686

Prime factors of 49686 are 2, 3, 7, 13. Prime factorization of 49686 in exponential form is:

49686 = 2¹ × 3¹ × 7² × 13²

Step-3: Factors of 49673

List of positive integer factors of 49673 that divides 49673 without a remainder.

1, 13, 3821

Step-4: Factors of 49686

List of positive integer factors of 49686 that divides 49673 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 169, 182, 273, 294, 338, 507, 546, 637, 1014, 1183, 1274, 1911, 2366, 3549, 3822, 7098, 8281, 16562, 24843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49673 and 49686. The biggest common factor number is the GCF number.
So the greatest common factor 49673 and 49686 is 13.

Also check out the Least Common Multiple of 49673 and 49686