What is the Greatest Common Factor of 70083 and 70096?

Greatest common factor (GCF) of 70083 and 70096 is 13.

GCF(70083,70096) = 13

We will now calculate the prime factors of 70083 and 70096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70083 and 70096.

How to find the GCF of 70083 and 70096?

We will first find the prime factorization of 70083 and 70096. After we will calculate the factors of 70083 and 70096 and find the biggest common factor number .

Step-1: Prime Factorization of 70083

Prime factors of 70083 are 3, 13, 599. Prime factorization of 70083 in exponential form is:

70083 = 3² × 13¹ × 599¹

Step-2: Prime Factorization of 70096

Prime factors of 70096 are 2, 13, 337. Prime factorization of 70096 in exponential form is:

70096 = 2⁴ × 13¹ × 337¹

Step-3: Factors of 70083

List of positive integer factors of 70083 that divides 70083 without a remainder.

1, 3, 9, 13, 39, 117, 599, 1797, 5391, 7787, 23361

Step-4: Factors of 70096

List of positive integer factors of 70096 that divides 70083 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 337, 674, 1348, 2696, 4381, 5392, 8762, 17524, 35048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70083 and 70096. The biggest common factor number is the GCF number.
So the greatest common factor 70083 and 70096 is 13.

Also check out the Least Common Multiple of 70083 and 70096