What is the Greatest Common Factor of 70105 and 70123?

Greatest common factor (GCF) of 70105 and 70123 is 1.

GCF(70105,70123) = 1

We will now calculate the prime factors of 70105 and 70123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70105 and 70123.

How to find the GCF of 70105 and 70123?

We will first find the prime factorization of 70105 and 70123. After we will calculate the factors of 70105 and 70123 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70123

Prime factors of 70123 are 70123. Prime factorization of 70123 in exponential form is:

70123 = 70123¹

Step-3: Factors of 70105

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

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

Step-4: Factors of 70123

List of positive integer factors of 70123 that divides 70105 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70105 and 70123. The biggest common factor number is the GCF number.
So the greatest common factor 70105 and 70123 is 1.

Also check out the Least Common Multiple of 70105 and 70123