What is the Greatest Common Factor of 70003 and 70022?

Greatest common factor (GCF) of 70003 and 70022 is 1.

GCF(70003,70022) = 1

We will now calculate the prime factors of 70003 and 70022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70003 and 70022.

How to find the GCF of 70003 and 70022?

We will first find the prime factorization of 70003 and 70022. After we will calculate the factors of 70003 and 70022 and find the biggest common factor number .

Step-1: Prime Factorization of 70003

Prime factors of 70003 are 70003. Prime factorization of 70003 in exponential form is:

70003 = 70003¹

Step-2: Prime Factorization of 70022

Prime factors of 70022 are 2, 157, 223. Prime factorization of 70022 in exponential form is:

70022 = 2¹ × 157¹ × 223¹

Step-3: Factors of 70003

List of positive integer factors of 70003 that divides 70003 without a remainder.

Step-4: Factors of 70022

List of positive integer factors of 70022 that divides 70003 without a remainder.

1, 2, 157, 223, 314, 446, 35011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70003 and 70022. The biggest common factor number is the GCF number.
So the greatest common factor 70003 and 70022 is 1.

Also check out the Least Common Multiple of 70003 and 70022