What is the Greatest Common Factor of 70588 and 70596?

Greatest common factor (GCF) of 70588 and 70596 is 4.

GCF(70588,70596) = 4

We will now calculate the prime factors of 70588 and 70596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70588 and 70596.

How to find the GCF of 70588 and 70596?

We will first find the prime factorization of 70588 and 70596. After we will calculate the factors of 70588 and 70596 and find the biggest common factor number .

Step-1: Prime Factorization of 70588

Prime factors of 70588 are 2, 7, 2521. Prime factorization of 70588 in exponential form is:

70588 = 2² × 7¹ × 2521¹

Step-2: 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-3: Factors of 70588

List of positive integer factors of 70588 that divides 70588 without a remainder.

1, 2, 4, 7, 14, 28, 2521, 5042, 10084, 17647, 35294

Step-4: Factors of 70596

List of positive integer factors of 70596 that divides 70588 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70588 and 70596. The biggest common factor number is the GCF number.
So the greatest common factor 70588 and 70596 is 4.

Also check out the Least Common Multiple of 70588 and 70596