What is the Greatest Common Factor of 79662 and 79673?

Greatest common factor (GCF) of 79662 and 79673 is 11.

GCF(79662,79673) = 11

We will now calculate the prime factors of 79662 and 79673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79662 and 79673.

How to find the GCF of 79662 and 79673?

We will first find the prime factorization of 79662 and 79673. After we will calculate the factors of 79662 and 79673 and find the biggest common factor number .

Step-1: Prime Factorization of 79662

Prime factors of 79662 are 2, 3, 11, 17, 71. Prime factorization of 79662 in exponential form is:

79662 = 2¹ × 3¹ × 11¹ × 17¹ × 71¹

Step-2: Prime Factorization of 79673

Prime factors of 79673 are 11, 7243. Prime factorization of 79673 in exponential form is:

79673 = 11¹ × 7243¹

Step-3: Factors of 79662

List of positive integer factors of 79662 that divides 79662 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 71, 102, 142, 187, 213, 374, 426, 561, 781, 1122, 1207, 1562, 2343, 2414, 3621, 4686, 7242, 13277, 26554, 39831

Step-4: Factors of 79673

List of positive integer factors of 79673 that divides 79662 without a remainder.

1, 11, 7243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79662 and 79673. The biggest common factor number is the GCF number.
So the greatest common factor 79662 and 79673 is 11.

Also check out the Least Common Multiple of 79662 and 79673