What is the Greatest Common Factor of 70022 and 70040?

Greatest common factor (GCF) of 70022 and 70040 is 2.

GCF(70022,70040) = 2

We will now calculate the prime factors of 70022 and 70040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70022 and 70040.

How to find the GCF of 70022 and 70040?

We will first find the prime factorization of 70022 and 70040. After we will calculate the factors of 70022 and 70040 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70040

Prime factors of 70040 are 2, 5, 17, 103. Prime factorization of 70040 in exponential form is:

70040 = 2³ × 5¹ × 17¹ × 103¹

Step-3: Factors of 70022

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

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

Step-4: Factors of 70040

List of positive integer factors of 70040 that divides 70022 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 103, 136, 170, 206, 340, 412, 515, 680, 824, 1030, 1751, 2060, 3502, 4120, 7004, 8755, 14008, 17510, 35020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70022 and 70040. The biggest common factor number is the GCF number.
So the greatest common factor 70022 and 70040 is 2.

Also check out the Least Common Multiple of 70022 and 70040