What is the Greatest Common Factor of 70284 and 70296?

Greatest common factor (GCF) of 70284 and 70296 is 12.

GCF(70284,70296) = 12

We will now calculate the prime factors of 70284 and 70296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70284 and 70296.

How to find the GCF of 70284 and 70296?

We will first find the prime factorization of 70284 and 70296. After we will calculate the factors of 70284 and 70296 and find the biggest common factor number .

Step-1: Prime Factorization of 70284

Prime factors of 70284 are 2, 3, 5857. Prime factorization of 70284 in exponential form is:

70284 = 2² × 3¹ × 5857¹

Step-2: 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-3: Factors of 70284

List of positive integer factors of 70284 that divides 70284 without a remainder.

1, 2, 3, 4, 6, 12, 5857, 11714, 17571, 23428, 35142

Step-4: Factors of 70296

List of positive integer factors of 70296 that divides 70284 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70284 and 70296. The biggest common factor number is the GCF number.
So the greatest common factor 70284 and 70296 is 12.

Also check out the Least Common Multiple of 70284 and 70296