What is the Greatest Common Factor of 70990 and 71006?

Greatest common factor (GCF) of 70990 and 71006 is 2.

GCF(70990,71006) = 2

We will now calculate the prime factors of 70990 and 71006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70990 and 71006.

How to find the GCF of 70990 and 71006?

We will first find the prime factorization of 70990 and 71006. After we will calculate the factors of 70990 and 71006 and find the biggest common factor number .

Step-1: Prime Factorization of 70990

Prime factors of 70990 are 2, 5, 31, 229. Prime factorization of 70990 in exponential form is:

70990 = 2¹ × 5¹ × 31¹ × 229¹

Step-2: Prime Factorization of 71006

Prime factors of 71006 are 2, 13, 2731. Prime factorization of 71006 in exponential form is:

71006 = 2¹ × 13¹ × 2731¹

Step-3: Factors of 70990

List of positive integer factors of 70990 that divides 70990 without a remainder.

1, 2, 5, 10, 31, 62, 155, 229, 310, 458, 1145, 2290, 7099, 14198, 35495

Step-4: Factors of 71006

List of positive integer factors of 71006 that divides 70990 without a remainder.

1, 2, 13, 26, 2731, 5462, 35503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70990 and 71006. The biggest common factor number is the GCF number.
So the greatest common factor 70990 and 71006 is 2.

Also check out the Least Common Multiple of 70990 and 71006