What is the Greatest Common Factor of 70149 and 70158?

Greatest common factor (GCF) of 70149 and 70158 is 3.

GCF(70149,70158) = 3

We will now calculate the prime factors of 70149 and 70158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70149 and 70158.

How to find the GCF of 70149 and 70158?

We will first find the prime factorization of 70149 and 70158. After we will calculate the factors of 70149 and 70158 and find the biggest common factor number .

Step-1: Prime Factorization of 70149

Prime factors of 70149 are 3, 67, 349. Prime factorization of 70149 in exponential form is:

70149 = 3¹ × 67¹ × 349¹

Step-2: Prime Factorization of 70158

Prime factors of 70158 are 2, 3, 11, 1063. Prime factorization of 70158 in exponential form is:

70158 = 2¹ × 3¹ × 11¹ × 1063¹

Step-3: Factors of 70149

List of positive integer factors of 70149 that divides 70149 without a remainder.

1, 3, 67, 201, 349, 1047, 23383

Step-4: Factors of 70158

List of positive integer factors of 70158 that divides 70149 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1063, 2126, 3189, 6378, 11693, 23386, 35079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70149 and 70158. The biggest common factor number is the GCF number.
So the greatest common factor 70149 and 70158 is 3.

Also check out the Least Common Multiple of 70149 and 70158