What is the Greatest Common Factor of 70170 and 70179?

Greatest common factor (GCF) of 70170 and 70179 is 3.

GCF(70170,70179) = 3

We will now calculate the prime factors of 70170 and 70179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70170 and 70179.

How to find the GCF of 70170 and 70179?

We will first find the prime factorization of 70170 and 70179. After we will calculate the factors of 70170 and 70179 and find the biggest common factor number .

Step-1: Prime Factorization of 70170

Prime factors of 70170 are 2, 3, 5, 2339. Prime factorization of 70170 in exponential form is:

70170 = 2¹ × 3¹ × 5¹ × 2339¹

Step-2: Prime Factorization of 70179

Prime factors of 70179 are 3, 149, 157. Prime factorization of 70179 in exponential form is:

70179 = 3¹ × 149¹ × 157¹

Step-3: Factors of 70170

List of positive integer factors of 70170 that divides 70170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2339, 4678, 7017, 11695, 14034, 23390, 35085

Step-4: Factors of 70179

List of positive integer factors of 70179 that divides 70170 without a remainder.

1, 3, 149, 157, 447, 471, 23393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70170 and 70179. The biggest common factor number is the GCF number.
So the greatest common factor 70170 and 70179 is 3.

Also check out the Least Common Multiple of 70170 and 70179