What is the Greatest Common Factor of 49829 and 49842?

Greatest common factor (GCF) of 49829 and 49842 is 13.

GCF(49829,49842) = 13

We will now calculate the prime factors of 49829 and 49842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49829 and 49842.

How to find the GCF of 49829 and 49842?

We will first find the prime factorization of 49829 and 49842. After we will calculate the factors of 49829 and 49842 and find the biggest common factor number .

Step-1: Prime Factorization of 49829

Prime factors of 49829 are 13, 3833. Prime factorization of 49829 in exponential form is:

49829 = 13¹ × 3833¹

Step-2: Prime Factorization of 49842

Prime factors of 49842 are 2, 3, 13, 71. Prime factorization of 49842 in exponential form is:

49842 = 2¹ × 3³ × 13¹ × 71¹

Step-3: Factors of 49829

List of positive integer factors of 49829 that divides 49829 without a remainder.

1, 13, 3833

Step-4: Factors of 49842

List of positive integer factors of 49842 that divides 49829 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 71, 78, 117, 142, 213, 234, 351, 426, 639, 702, 923, 1278, 1846, 1917, 2769, 3834, 5538, 8307, 16614, 24921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49829 and 49842. The biggest common factor number is the GCF number.
So the greatest common factor 49829 and 49842 is 13.

Also check out the Least Common Multiple of 49829 and 49842