What is the Greatest Common Factor of 70596 and 70614?

Greatest common factor (GCF) of 70596 and 70614 is 18.

GCF(70596,70614) = 18

We will now calculate the prime factors of 70596 and 70614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70596 and 70614.

How to find the GCF of 70596 and 70614?

We will first find the prime factorization of 70596 and 70614. After we will calculate the factors of 70596 and 70614 and find the biggest common factor number .

Step-1: Prime Factorization of 70596

Prime factors of 70596 are 2, 3, 37, 53. Prime factorization of 70596 in exponential form is:

70596 = 2² × 3² × 37¹ × 53¹

Step-2: Prime Factorization of 70614

Prime factors of 70614 are 2, 3, 3923. Prime factorization of 70614 in exponential form is:

70614 = 2¹ × 3² × 3923¹

Step-3: Factors of 70596

List of positive integer factors of 70596 that divides 70596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 53, 74, 106, 111, 148, 159, 212, 222, 318, 333, 444, 477, 636, 666, 954, 1332, 1908, 1961, 3922, 5883, 7844, 11766, 17649, 23532, 35298

Step-4: Factors of 70614

List of positive integer factors of 70614 that divides 70596 without a remainder.

1, 2, 3, 6, 9, 18, 3923, 7846, 11769, 23538, 35307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70596 and 70614. The biggest common factor number is the GCF number.
So the greatest common factor 70596 and 70614 is 18.

Also check out the Least Common Multiple of 70596 and 70614