What is the Greatest Common Factor of 70572 and 70576?

Greatest common factor (GCF) of 70572 and 70576 is 4.

GCF(70572,70576) = 4

We will now calculate the prime factors of 70572 and 70576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70572 and 70576.

How to find the GCF of 70572 and 70576?

We will first find the prime factorization of 70572 and 70576. After we will calculate the factors of 70572 and 70576 and find the biggest common factor number .

Step-1: Prime Factorization of 70572

Prime factors of 70572 are 2, 3, 5881. Prime factorization of 70572 in exponential form is:

70572 = 2² × 3¹ × 5881¹

Step-2: Prime Factorization of 70576

Prime factors of 70576 are 2, 11, 401. Prime factorization of 70576 in exponential form is:

70576 = 2⁴ × 11¹ × 401¹

Step-3: Factors of 70572

List of positive integer factors of 70572 that divides 70572 without a remainder.

1, 2, 3, 4, 6, 12, 5881, 11762, 17643, 23524, 35286

Step-4: Factors of 70576

List of positive integer factors of 70576 that divides 70572 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 401, 802, 1604, 3208, 4411, 6416, 8822, 17644, 35288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70572 and 70576. The biggest common factor number is the GCF number.
So the greatest common factor 70572 and 70576 is 4.

Also check out the Least Common Multiple of 70572 and 70576