What is the Greatest Common Factor of 70091 and 70105?

Greatest common factor (GCF) of 70091 and 70105 is 7.

GCF(70091,70105) = 7

We will now calculate the prime factors of 70091 and 70105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70091 and 70105.

How to find the GCF of 70091 and 70105?

We will first find the prime factorization of 70091 and 70105. After we will calculate the factors of 70091 and 70105 and find the biggest common factor number .

Step-1: Prime Factorization of 70091

Prime factors of 70091 are 7, 17, 19, 31. Prime factorization of 70091 in exponential form is:

70091 = 7¹ × 17¹ × 19¹ × 31¹

Step-2: Prime Factorization of 70105

Prime factors of 70105 are 5, 7, 2003. Prime factorization of 70105 in exponential form is:

70105 = 5¹ × 7¹ × 2003¹

Step-3: Factors of 70091

List of positive integer factors of 70091 that divides 70091 without a remainder.

1, 7, 17, 19, 31, 119, 133, 217, 323, 527, 589, 2261, 3689, 4123, 10013

Step-4: Factors of 70105

List of positive integer factors of 70105 that divides 70091 without a remainder.

1, 5, 7, 35, 2003, 10015, 14021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70091 and 70105. The biggest common factor number is the GCF number.
So the greatest common factor 70091 and 70105 is 7.

Also check out the Least Common Multiple of 70091 and 70105