What is the Greatest Common Factor of 70145 and 70160?

Greatest common factor (GCF) of 70145 and 70160 is 5.

GCF(70145,70160) = 5

We will now calculate the prime factors of 70145 and 70160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70145 and 70160.

How to find the GCF of 70145 and 70160?

We will first find the prime factorization of 70145 and 70160. After we will calculate the factors of 70145 and 70160 and find the biggest common factor number .

Step-1: Prime Factorization of 70145

Prime factors of 70145 are 5, 14029. Prime factorization of 70145 in exponential form is:

70145 = 5¹ × 14029¹

Step-2: Prime Factorization of 70160

Prime factors of 70160 are 2, 5, 877. Prime factorization of 70160 in exponential form is:

70160 = 2⁴ × 5¹ × 877¹

Step-3: Factors of 70145

List of positive integer factors of 70145 that divides 70145 without a remainder.

1, 5, 14029

Step-4: Factors of 70160

List of positive integer factors of 70160 that divides 70145 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 877, 1754, 3508, 4385, 7016, 8770, 14032, 17540, 35080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70145 and 70160. The biggest common factor number is the GCF number.
So the greatest common factor 70145 and 70160 is 5.

Also check out the Least Common Multiple of 70145 and 70160