What is the Greatest Common Factor of 70156 and 70170?

Greatest common factor (GCF) of 70156 and 70170 is 2.

GCF(70156,70170) = 2

We will now calculate the prime factors of 70156 and 70170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70156 and 70170.

How to find the GCF of 70156 and 70170?

We will first find the prime factorization of 70156 and 70170. After we will calculate the factors of 70156 and 70170 and find the biggest common factor number .

Step-1: Prime Factorization of 70156

Prime factors of 70156 are 2, 17539. Prime factorization of 70156 in exponential form is:

70156 = 2² × 17539¹

Step-2: 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-3: Factors of 70156

List of positive integer factors of 70156 that divides 70156 without a remainder.

1, 2, 4, 17539, 35078

Step-4: Factors of 70170

List of positive integer factors of 70170 that divides 70156 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70156 and 70170. The biggest common factor number is the GCF number.
So the greatest common factor 70156 and 70170 is 2.

Also check out the Least Common Multiple of 70156 and 70170