What is the Greatest Common Factor of 70692 and 70704?

Greatest common factor (GCF) of 70692 and 70704 is 12.

GCF(70692,70704) = 12

We will now calculate the prime factors of 70692 and 70704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70692 and 70704.

How to find the GCF of 70692 and 70704?

We will first find the prime factorization of 70692 and 70704. After we will calculate the factors of 70692 and 70704 and find the biggest common factor number .

Step-1: Prime Factorization of 70692

Prime factors of 70692 are 2, 3, 43, 137. Prime factorization of 70692 in exponential form is:

70692 = 2² × 3¹ × 43¹ × 137¹

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 70692

List of positive integer factors of 70692 that divides 70692 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 137, 172, 258, 274, 411, 516, 548, 822, 1644, 5891, 11782, 17673, 23564, 35346

Step-4: Factors of 70704

List of positive integer factors of 70704 that divides 70692 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 70692 and 70704. The biggest common factor number is the GCF number.
So the greatest common factor 70692 and 70704 is 12.

Also check out the Least Common Multiple of 70692 and 70704