What is the Greatest Common Factor of 70130 and 70140?

Greatest common factor (GCF) of 70130 and 70140 is 10.

GCF(70130,70140) = 10

We will now calculate the prime factors of 70130 and 70140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70130 and 70140.

How to find the GCF of 70130 and 70140?

We will first find the prime factorization of 70130 and 70140. After we will calculate the factors of 70130 and 70140 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 70140

Prime factors of 70140 are 2, 3, 5, 7, 167. Prime factorization of 70140 in exponential form is:

70140 = 2² × 3¹ × 5¹ × 7¹ × 167¹

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 70140

List of positive integer factors of 70140 that divides 70130 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 167, 210, 334, 420, 501, 668, 835, 1002, 1169, 1670, 2004, 2338, 2505, 3340, 3507, 4676, 5010, 5845, 7014, 10020, 11690, 14028, 17535, 23380, 35070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70130 and 70140. The biggest common factor number is the GCF number.
So the greatest common factor 70130 and 70140 is 10.

Also check out the Least Common Multiple of 70130 and 70140