What is the Greatest Common Factor of 70040 and 70058?

Greatest common factor (GCF) of 70040 and 70058 is 2.

GCF(70040,70058) = 2

We will now calculate the prime factors of 70040 and 70058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70040 and 70058.

How to find the GCF of 70040 and 70058?

We will first find the prime factorization of 70040 and 70058. After we will calculate the factors of 70040 and 70058 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 70058

Prime factors of 70058 are 2, 23, 1523. Prime factorization of 70058 in exponential form is:

70058 = 2¹ × 23¹ × 1523¹

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 70058

List of positive integer factors of 70058 that divides 70040 without a remainder.

1, 2, 23, 46, 1523, 3046, 35029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70040 and 70058. The biggest common factor number is the GCF number.
So the greatest common factor 70040 and 70058 is 2.

Also check out the Least Common Multiple of 70040 and 70058