What is the Greatest Common Factor of 70608 and 70613?

Greatest common factor (GCF) of 70608 and 70613 is 1.

GCF(70608,70613) = 1

We will now calculate the prime factors of 70608 and 70613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70608 and 70613.

How to find the GCF of 70608 and 70613?

We will first find the prime factorization of 70608 and 70613. After we will calculate the factors of 70608 and 70613 and find the biggest common factor number .

Step-1: Prime Factorization of 70608

Prime factors of 70608 are 2, 3, 1471. Prime factorization of 70608 in exponential form is:

70608 = 2⁴ × 3¹ × 1471¹

Step-2: Prime Factorization of 70613

Prime factors of 70613 are 241, 293. Prime factorization of 70613 in exponential form is:

70613 = 241¹ × 293¹

Step-3: Factors of 70608

List of positive integer factors of 70608 that divides 70608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1471, 2942, 4413, 5884, 8826, 11768, 17652, 23536, 35304

Step-4: Factors of 70613

List of positive integer factors of 70613 that divides 70608 without a remainder.

1, 241, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70608 and 70613. The biggest common factor number is the GCF number.
So the greatest common factor 70608 and 70613 is 1.

Also check out the Least Common Multiple of 70608 and 70613