What is the Greatest Common Factor of 70130 and 70150?

Greatest common factor (GCF) of 70130 and 70150 is 10.

GCF(70130,70150) = 10

We will now calculate the prime factors of 70130 and 70150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70130 and 70150.

How to find the GCF of 70130 and 70150?

We will first find the prime factorization of 70130 and 70150. After we will calculate the factors of 70130 and 70150 and find the biggest common factor number .

Step-1: Prime Factorization of 70130

Prime factors of 70130 are 2, 5, 7013. Prime factorization of 70130 in exponential form is:

70130 = 2¹ × 5¹ × 7013¹

Step-2: 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-3: Factors of 70130

List of positive integer factors of 70130 that divides 70130 without a remainder.

1, 2, 5, 10, 7013, 14026, 35065

Step-4: Factors of 70150

List of positive integer factors of 70150 that divides 70130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70130 and 70150. The biggest common factor number is the GCF number.
So the greatest common factor 70130 and 70150 is 10.

Also check out the Least Common Multiple of 70130 and 70150