What is the Greatest Common Factor of 70990 and 71005?

Greatest common factor (GCF) of 70990 and 71005 is 5.

GCF(70990,71005) = 5

We will now calculate the prime factors of 70990 and 71005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70990 and 71005.

How to find the GCF of 70990 and 71005?

We will first find the prime factorization of 70990 and 71005. After we will calculate the factors of 70990 and 71005 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 71005

Prime factors of 71005 are 5, 11, 1291. Prime factorization of 71005 in exponential form is:

71005 = 5¹ × 11¹ × 1291¹

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 71005

List of positive integer factors of 71005 that divides 70990 without a remainder.

1, 5, 11, 55, 1291, 6455, 14201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70990 and 71005. The biggest common factor number is the GCF number.
So the greatest common factor 70990 and 71005 is 5.

Also check out the Least Common Multiple of 70990 and 71005