What is the Greatest Common Factor of 70695 and 70704?

Greatest common factor (GCF) of 70695 and 70704 is 9.

GCF(70695,70704) = 9

We will now calculate the prime factors of 70695 and 70704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70695 and 70704.

How to find the GCF of 70695 and 70704?

We will first find the prime factorization of 70695 and 70704. After we will calculate the factors of 70695 and 70704 and find the biggest common factor number .

Step-1: Prime Factorization of 70695

Prime factors of 70695 are 3, 5, 1571. Prime factorization of 70695 in exponential form is:

70695 = 3² × 5¹ × 1571¹

Step-2: 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-3: Factors of 70695

List of positive integer factors of 70695 that divides 70695 without a remainder.

1, 3, 5, 9, 15, 45, 1571, 4713, 7855, 14139, 23565

Step-4: Factors of 70704

List of positive integer factors of 70704 that divides 70695 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70695 and 70704. The biggest common factor number is the GCF number.
So the greatest common factor 70695 and 70704 is 9.

Also check out the Least Common Multiple of 70695 and 70704