What is the Greatest Common Factor of 70874 and 70882?

Greatest common factor (GCF) of 70874 and 70882 is 2.

GCF(70874,70882) = 2

We will now calculate the prime factors of 70874 and 70882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70874 and 70882.

How to find the GCF of 70874 and 70882?

We will first find the prime factorization of 70874 and 70882. After we will calculate the factors of 70874 and 70882 and find the biggest common factor number .

Step-1: Prime Factorization of 70874

Prime factors of 70874 are 2, 35437. Prime factorization of 70874 in exponential form is:

70874 = 2¹ × 35437¹

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 70874

List of positive integer factors of 70874 that divides 70874 without a remainder.

1, 2, 35437

Step-4: Factors of 70882

List of positive integer factors of 70882 that divides 70874 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 70874 and 70882. The biggest common factor number is the GCF number.
So the greatest common factor 70874 and 70882 is 2.

Also check out the Least Common Multiple of 70874 and 70882