What is the Greatest Common Factor of 79820 and 79833?

Greatest common factor (GCF) of 79820 and 79833 is 13.

GCF(79820,79833) = 13

We will now calculate the prime factors of 79820 and 79833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79820 and 79833.

How to find the GCF of 79820 and 79833?

We will first find the prime factorization of 79820 and 79833. After we will calculate the factors of 79820 and 79833 and find the biggest common factor number .

Step-1: Prime Factorization of 79820

Prime factors of 79820 are 2, 5, 13, 307. Prime factorization of 79820 in exponential form is:

79820 = 2² × 5¹ × 13¹ × 307¹

Step-2: 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-3: Factors of 79820

List of positive integer factors of 79820 that divides 79820 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 307, 614, 1228, 1535, 3070, 3991, 6140, 7982, 15964, 19955, 39910

Step-4: Factors of 79833

List of positive integer factors of 79833 that divides 79820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79820 and 79833. The biggest common factor number is the GCF number.
So the greatest common factor 79820 and 79833 is 13.

Also check out the Least Common Multiple of 79820 and 79833