What is the Greatest Common Factor of 70154 and 70168?

Greatest common factor (GCF) of 70154 and 70168 is 14.

GCF(70154,70168) = 14

We will now calculate the prime factors of 70154 and 70168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70154 and 70168.

How to find the GCF of 70154 and 70168?

We will first find the prime factorization of 70154 and 70168. After we will calculate the factors of 70154 and 70168 and find the biggest common factor number .

Step-1: Prime Factorization of 70154

Prime factors of 70154 are 2, 7, 5011. Prime factorization of 70154 in exponential form is:

70154 = 2¹ × 7¹ × 5011¹

Step-2: Prime Factorization of 70168

Prime factors of 70168 are 2, 7, 179. Prime factorization of 70168 in exponential form is:

70168 = 2³ × 7² × 179¹

Step-3: Factors of 70154

List of positive integer factors of 70154 that divides 70154 without a remainder.

1, 2, 7, 14, 5011, 10022, 35077

Step-4: Factors of 70168

List of positive integer factors of 70168 that divides 70154 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 179, 196, 358, 392, 716, 1253, 1432, 2506, 5012, 8771, 10024, 17542, 35084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70154 and 70168. The biggest common factor number is the GCF number.
So the greatest common factor 70154 and 70168 is 14.

Also check out the Least Common Multiple of 70154 and 70168