What is the Greatest Common Factor of 70565 and 70576?

Greatest common factor (GCF) of 70565 and 70576 is 11.

GCF(70565,70576) = 11

We will now calculate the prime factors of 70565 and 70576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70565 and 70576.

How to find the GCF of 70565 and 70576?

We will first find the prime factorization of 70565 and 70576. After we will calculate the factors of 70565 and 70576 and find the biggest common factor number .

Step-1: Prime Factorization of 70565

Prime factors of 70565 are 5, 11, 1283. Prime factorization of 70565 in exponential form is:

70565 = 5¹ × 11¹ × 1283¹

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 70565

List of positive integer factors of 70565 that divides 70565 without a remainder.

1, 5, 11, 55, 1283, 6415, 14113

Step-4: Factors of 70576

List of positive integer factors of 70576 that divides 70565 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 70565 and 70576. The biggest common factor number is the GCF number.
So the greatest common factor 70565 and 70576 is 11.

Also check out the Least Common Multiple of 70565 and 70576