What is the Greatest Common Factor of 70296 and 70302?

Greatest common factor (GCF) of 70296 and 70302 is 6.

GCF(70296,70302) = 6

We will now calculate the prime factors of 70296 and 70302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70296 and 70302.

How to find the GCF of 70296 and 70302?

We will first find the prime factorization of 70296 and 70302. After we will calculate the factors of 70296 and 70302 and find the biggest common factor number .

Step-1: Prime Factorization of 70296

Prime factors of 70296 are 2, 3, 29, 101. Prime factorization of 70296 in exponential form is:

70296 = 2³ × 3¹ × 29¹ × 101¹

Step-2: Prime Factorization of 70302

Prime factors of 70302 are 2, 3, 11717. Prime factorization of 70302 in exponential form is:

70302 = 2¹ × 3¹ × 11717¹

Step-3: Factors of 70296

List of positive integer factors of 70296 that divides 70296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 101, 116, 174, 202, 232, 303, 348, 404, 606, 696, 808, 1212, 2424, 2929, 5858, 8787, 11716, 17574, 23432, 35148

Step-4: Factors of 70302

List of positive integer factors of 70302 that divides 70296 without a remainder.

1, 2, 3, 6, 11717, 23434, 35151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70296 and 70302. The biggest common factor number is the GCF number.
So the greatest common factor 70296 and 70302 is 6.

Also check out the Least Common Multiple of 70296 and 70302