What is the Greatest Common Factor of 70149 and 70161?

Greatest common factor (GCF) of 70149 and 70161 is 3.

GCF(70149,70161) = 3

We will now calculate the prime factors of 70149 and 70161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70149 and 70161.

How to find the GCF of 70149 and 70161?

We will first find the prime factorization of 70149 and 70161. After we will calculate the factors of 70149 and 70161 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 70161

Prime factors of 70161 are 3, 7, 13, 257. Prime factorization of 70161 in exponential form is:

70161 = 3¹ × 7¹ × 13¹ × 257¹

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 70161

List of positive integer factors of 70161 that divides 70149 without a remainder.

1, 3, 7, 13, 21, 39, 91, 257, 273, 771, 1799, 3341, 5397, 10023, 23387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70149 and 70161. The biggest common factor number is the GCF number.
So the greatest common factor 70149 and 70161 is 3.

Also check out the Least Common Multiple of 70149 and 70161