What is the Greatest Common Factor of 79053 and 79066?

Greatest common factor (GCF) of 79053 and 79066 is 13.

GCF(79053,79066) = 13

We will now calculate the prime factors of 79053 and 79066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79053 and 79066.

How to find the GCF of 79053 and 79066?

We will first find the prime factorization of 79053 and 79066. After we will calculate the factors of 79053 and 79066 and find the biggest common factor number .

Step-1: Prime Factorization of 79053

Prime factors of 79053 are 3, 13, 2027. Prime factorization of 79053 in exponential form is:

79053 = 3¹ × 13¹ × 2027¹

Step-2: Prime Factorization of 79066

Prime factors of 79066 are 2, 13, 3041. Prime factorization of 79066 in exponential form is:

79066 = 2¹ × 13¹ × 3041¹

Step-3: Factors of 79053

List of positive integer factors of 79053 that divides 79053 without a remainder.

1, 3, 13, 39, 2027, 6081, 26351

Step-4: Factors of 79066

List of positive integer factors of 79066 that divides 79053 without a remainder.

1, 2, 13, 26, 3041, 6082, 39533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79053 and 79066. The biggest common factor number is the GCF number.
So the greatest common factor 79053 and 79066 is 13.

Also check out the Least Common Multiple of 79053 and 79066