What is the Greatest Common Factor of 70704 and 70716?

Greatest common factor (GCF) of 70704 and 70716 is 12.

GCF(70704,70716) = 12

We will now calculate the prime factors of 70704 and 70716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70704 and 70716.

How to find the GCF of 70704 and 70716?

We will first find the prime factorization of 70704 and 70716. After we will calculate the factors of 70704 and 70716 and find the biggest common factor number .

Step-1: Prime Factorization of 70704

Prime factors of 70704 are 2, 3, 491. Prime factorization of 70704 in exponential form is:

70704 = 2⁴ × 3² × 491¹

Step-2: Prime Factorization of 70716

Prime factors of 70716 are 2, 3, 71, 83. Prime factorization of 70716 in exponential form is:

70716 = 2² × 3¹ × 71¹ × 83¹

Step-3: Factors of 70704

List of positive integer factors of 70704 that divides 70704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 491, 982, 1473, 1964, 2946, 3928, 4419, 5892, 7856, 8838, 11784, 17676, 23568, 35352

Step-4: Factors of 70716

List of positive integer factors of 70716 that divides 70704 without a remainder.

1, 2, 3, 4, 6, 12, 71, 83, 142, 166, 213, 249, 284, 332, 426, 498, 852, 996, 5893, 11786, 17679, 23572, 35358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70704 and 70716. The biggest common factor number is the GCF number.
So the greatest common factor 70704 and 70716 is 12.

Also check out the Least Common Multiple of 70704 and 70716