What is the Greatest Common Factor of 70040 and 70054?

Greatest common factor (GCF) of 70040 and 70054 is 2.

GCF(70040,70054) = 2

We will now calculate the prime factors of 70040 and 70054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70040 and 70054.

How to find the GCF of 70040 and 70054?

We will first find the prime factorization of 70040 and 70054. After we will calculate the factors of 70040 and 70054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70054

Prime factors of 70054 are 2, 35027. Prime factorization of 70054 in exponential form is:

70054 = 2¹ × 35027¹

Step-3: Factors of 70040

List of positive integer factors of 70040 that divides 70040 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

Step-4: Factors of 70054

List of positive integer factors of 70054 that divides 70040 without a remainder.

1, 2, 35027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70040 and 70054. The biggest common factor number is the GCF number.
So the greatest common factor 70040 and 70054 is 2.

Also check out the Least Common Multiple of 70040 and 70054