What is the Greatest Common Factor of 70002 and 70022?

Greatest common factor (GCF) of 70002 and 70022 is 2.

GCF(70002,70022) = 2

We will now calculate the prime factors of 70002 and 70022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70002 and 70022.

How to find the GCF of 70002 and 70022?

We will first find the prime factorization of 70002 and 70022. After we will calculate the factors of 70002 and 70022 and find the biggest common factor number .

Step-1: Prime Factorization of 70002

Prime factors of 70002 are 2, 3, 3889. Prime factorization of 70002 in exponential form is:

70002 = 2¹ × 3² × 3889¹

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 70002

List of positive integer factors of 70002 that divides 70002 without a remainder.

1, 2, 3, 6, 9, 18, 3889, 7778, 11667, 23334, 35001

Step-4: Factors of 70022

List of positive integer factors of 70022 that divides 70002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70002 and 70022. The biggest common factor number is the GCF number.
So the greatest common factor 70002 and 70022 is 2.

Also check out the Least Common Multiple of 70002 and 70022