What is the Greatest Common Factor of 70150 and 70160?

Greatest common factor (GCF) of 70150 and 70160 is 10.

GCF(70150,70160) = 10

We will now calculate the prime factors of 70150 and 70160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70150 and 70160.

How to find the GCF of 70150 and 70160?

We will first find the prime factorization of 70150 and 70160. After we will calculate the factors of 70150 and 70160 and find the biggest common factor number .

Step-1: Prime Factorization of 70150

Prime factors of 70150 are 2, 5, 23, 61. Prime factorization of 70150 in exponential form is:

70150 = 2¹ × 5² × 23¹ × 61¹

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 70150

List of positive integer factors of 70150 that divides 70150 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 61, 115, 122, 230, 305, 575, 610, 1150, 1403, 1525, 2806, 3050, 7015, 14030, 35075

Step-4: Factors of 70160

List of positive integer factors of 70160 that divides 70150 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 70150 and 70160. The biggest common factor number is the GCF number.
So the greatest common factor 70150 and 70160 is 10.

Also check out the Least Common Multiple of 70150 and 70160