What is the Greatest Common Factor of 70864 and 70882?

Greatest common factor (GCF) of 70864 and 70882 is 2.

GCF(70864,70882) = 2

We will now calculate the prime factors of 70864 and 70882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70864 and 70882.

How to find the GCF of 70864 and 70882?

We will first find the prime factorization of 70864 and 70882. After we will calculate the factors of 70864 and 70882 and find the biggest common factor number .

Step-1: Prime Factorization of 70864

Prime factors of 70864 are 2, 43, 103. Prime factorization of 70864 in exponential form is:

70864 = 2⁴ × 43¹ × 103¹

Step-2: Prime Factorization of 70882

Prime factors of 70882 are 2, 7, 61, 83. Prime factorization of 70882 in exponential form is:

70882 = 2¹ × 7¹ × 61¹ × 83¹

Step-3: Factors of 70864

List of positive integer factors of 70864 that divides 70864 without a remainder.

1, 2, 4, 8, 16, 43, 86, 103, 172, 206, 344, 412, 688, 824, 1648, 4429, 8858, 17716, 35432

Step-4: Factors of 70882

List of positive integer factors of 70882 that divides 70864 without a remainder.

1, 2, 7, 14, 61, 83, 122, 166, 427, 581, 854, 1162, 5063, 10126, 35441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70864 and 70882. The biggest common factor number is the GCF number.
So the greatest common factor 70864 and 70882 is 2.

Also check out the Least Common Multiple of 70864 and 70882