What is the Greatest Common Factor of 70130 and 70138?

Greatest common factor (GCF) of 70130 and 70138 is 2.

GCF(70130,70138) = 2

We will now calculate the prime factors of 70130 and 70138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70130 and 70138.

How to find the GCF of 70130 and 70138?

We will first find the prime factorization of 70130 and 70138. After we will calculate the factors of 70130 and 70138 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 70138

Prime factors of 70138 are 2, 35069. Prime factorization of 70138 in exponential form is:

70138 = 2¹ × 35069¹

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 70138

List of positive integer factors of 70138 that divides 70130 without a remainder.

1, 2, 35069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70130 and 70138. The biggest common factor number is the GCF number.
So the greatest common factor 70130 and 70138 is 2.

Also check out the Least Common Multiple of 70130 and 70138