What is the Greatest Common Factor of 79833 and 79846?

Greatest common factor (GCF) of 79833 and 79846 is 13.

GCF(79833,79846) = 13

We will now calculate the prime factors of 79833 and 79846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79833 and 79846.

How to find the GCF of 79833 and 79846?

We will first find the prime factorization of 79833 and 79846. After we will calculate the factors of 79833 and 79846 and find the biggest common factor number .

Step-1: Prime Factorization of 79833

Prime factors of 79833 are 3, 13, 23, 89. Prime factorization of 79833 in exponential form is:

79833 = 3¹ × 13¹ × 23¹ × 89¹

Step-2: Prime Factorization of 79846

Prime factors of 79846 are 2, 13, 37, 83. Prime factorization of 79846 in exponential form is:

79846 = 2¹ × 13¹ × 37¹ × 83¹

Step-3: Factors of 79833

List of positive integer factors of 79833 that divides 79833 without a remainder.

1, 3, 13, 23, 39, 69, 89, 267, 299, 897, 1157, 2047, 3471, 6141, 26611

Step-4: Factors of 79846

List of positive integer factors of 79846 that divides 79833 without a remainder.

1, 2, 13, 26, 37, 74, 83, 166, 481, 962, 1079, 2158, 3071, 6142, 39923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79833 and 79846. The biggest common factor number is the GCF number.
So the greatest common factor 79833 and 79846 is 13.

Also check out the Least Common Multiple of 79833 and 79846