What is the Greatest Common Factor of 70816 and 70832?

Greatest common factor (GCF) of 70816 and 70832 is 16.

GCF(70816,70832) = 16

We will now calculate the prime factors of 70816 and 70832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70816 and 70832.

How to find the GCF of 70816 and 70832?

We will first find the prime factorization of 70816 and 70832. After we will calculate the factors of 70816 and 70832 and find the biggest common factor number .

Step-1: Prime Factorization of 70816

Prime factors of 70816 are 2, 2213. Prime factorization of 70816 in exponential form is:

70816 = 2⁵ × 2213¹

Step-2: Prime Factorization of 70832

Prime factors of 70832 are 2, 19, 233. Prime factorization of 70832 in exponential form is:

70832 = 2⁴ × 19¹ × 233¹

Step-3: Factors of 70816

List of positive integer factors of 70816 that divides 70816 without a remainder.

1, 2, 4, 8, 16, 32, 2213, 4426, 8852, 17704, 35408

Step-4: Factors of 70832

List of positive integer factors of 70832 that divides 70816 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 233, 304, 466, 932, 1864, 3728, 4427, 8854, 17708, 35416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70816 and 70832. The biggest common factor number is the GCF number.
So the greatest common factor 70816 and 70832 is 16.

Also check out the Least Common Multiple of 70816 and 70832