What is the Greatest Common Factor of 70508 and 70520?

Greatest common factor (GCF) of 70508 and 70520 is 4.

GCF(70508,70520) = 4

We will now calculate the prime factors of 70508 and 70520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70508 and 70520.

How to find the GCF of 70508 and 70520?

We will first find the prime factorization of 70508 and 70520. After we will calculate the factors of 70508 and 70520 and find the biggest common factor number .

Step-1: Prime Factorization of 70508

Prime factors of 70508 are 2, 17627. Prime factorization of 70508 in exponential form is:

70508 = 2² × 17627¹

Step-2: Prime Factorization of 70520

Prime factors of 70520 are 2, 5, 41, 43. Prime factorization of 70520 in exponential form is:

70520 = 2³ × 5¹ × 41¹ × 43¹

Step-3: Factors of 70508

List of positive integer factors of 70508 that divides 70508 without a remainder.

1, 2, 4, 17627, 35254

Step-4: Factors of 70520

List of positive integer factors of 70520 that divides 70508 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 41, 43, 82, 86, 164, 172, 205, 215, 328, 344, 410, 430, 820, 860, 1640, 1720, 1763, 3526, 7052, 8815, 14104, 17630, 35260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70508 and 70520. The biggest common factor number is the GCF number.
So the greatest common factor 70508 and 70520 is 4.

Also check out the Least Common Multiple of 70508 and 70520