What is the Greatest Common Factor of 70994 and 71005?

Greatest common factor (GCF) of 70994 and 71005 is 11.

GCF(70994,71005) = 11

We will now calculate the prime factors of 70994 and 71005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70994 and 71005.

How to find the GCF of 70994 and 71005?

We will first find the prime factorization of 70994 and 71005. After we will calculate the factors of 70994 and 71005 and find the biggest common factor number .

Step-1: Prime Factorization of 70994

Prime factors of 70994 are 2, 7, 11, 461. Prime factorization of 70994 in exponential form is:

70994 = 2¹ × 7¹ × 11¹ × 461¹

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 70994

List of positive integer factors of 70994 that divides 70994 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 461, 922, 3227, 5071, 6454, 10142, 35497

Step-4: Factors of 71005

List of positive integer factors of 71005 that divides 70994 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70994 and 71005. The biggest common factor number is the GCF number.
So the greatest common factor 70994 and 71005 is 11.

Also check out the Least Common Multiple of 70994 and 71005