What is the Greatest Common Factor of 70023 and 70040?

Greatest common factor (GCF) of 70023 and 70040 is 17.

GCF(70023,70040) = 17

We will now calculate the prime factors of 70023 and 70040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70023 and 70040.

How to find the GCF of 70023 and 70040?

We will first find the prime factorization of 70023 and 70040. After we will calculate the factors of 70023 and 70040 and find the biggest common factor number .

Step-1: Prime Factorization of 70023

Prime factors of 70023 are 3, 17, 1373. Prime factorization of 70023 in exponential form is:

70023 = 3¹ × 17¹ × 1373¹

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 70023

List of positive integer factors of 70023 that divides 70023 without a remainder.

1, 3, 17, 51, 1373, 4119, 23341

Step-4: Factors of 70040

List of positive integer factors of 70040 that divides 70023 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 70023 and 70040. The biggest common factor number is the GCF number.
So the greatest common factor 70023 and 70040 is 17.

Also check out the Least Common Multiple of 70023 and 70040