What is the Greatest Common Factor of 70592 and 70608?

Greatest common factor (GCF) of 70592 and 70608 is 16.

GCF(70592,70608) = 16

We will now calculate the prime factors of 70592 and 70608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70592 and 70608.

How to find the GCF of 70592 and 70608?

We will first find the prime factorization of 70592 and 70608. After we will calculate the factors of 70592 and 70608 and find the biggest common factor number .

Step-1: Prime Factorization of 70592

Prime factors of 70592 are 2, 1103. Prime factorization of 70592 in exponential form is:

70592 = 2⁶ × 1103¹

Step-2: 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-3: Factors of 70592

List of positive integer factors of 70592 that divides 70592 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1103, 2206, 4412, 8824, 17648, 35296

Step-4: Factors of 70608

List of positive integer factors of 70608 that divides 70592 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70592 and 70608. The biggest common factor number is the GCF number.
So the greatest common factor 70592 and 70608 is 16.

Also check out the Least Common Multiple of 70592 and 70608