What is the Greatest Common Factor of 70882 and 70894?

Greatest common factor (GCF) of 70882 and 70894 is 2.

GCF(70882,70894) = 2

We will now calculate the prime factors of 70882 and 70894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70882 and 70894.

How to find the GCF of 70882 and 70894?

We will first find the prime factorization of 70882 and 70894. After we will calculate the factors of 70882 and 70894 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70894

Prime factors of 70894 are 2, 35447. Prime factorization of 70894 in exponential form is:

70894 = 2¹ × 35447¹

Step-3: Factors of 70882

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

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

Step-4: Factors of 70894

List of positive integer factors of 70894 that divides 70882 without a remainder.

1, 2, 35447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70882 and 70894. The biggest common factor number is the GCF number.
So the greatest common factor 70882 and 70894 is 2.

Also check out the Least Common Multiple of 70882 and 70894