What is the Greatest Common Factor of 70119 and 70133?

Greatest common factor (GCF) of 70119 and 70133 is 7.

GCF(70119,70133) = 7

We will now calculate the prime factors of 70119 and 70133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70119 and 70133.

How to find the GCF of 70119 and 70133?

We will first find the prime factorization of 70119 and 70133. After we will calculate the factors of 70119 and 70133 and find the biggest common factor number .

Step-1: Prime Factorization of 70119

Prime factors of 70119 are 3, 7, 53. Prime factorization of 70119 in exponential form is:

70119 = 3³ × 7² × 53¹

Step-2: Prime Factorization of 70133

Prime factors of 70133 are 7, 43, 233. Prime factorization of 70133 in exponential form is:

70133 = 7¹ × 43¹ × 233¹

Step-3: Factors of 70119

List of positive integer factors of 70119 that divides 70119 without a remainder.

1, 3, 7, 9, 21, 27, 49, 53, 63, 147, 159, 189, 371, 441, 477, 1113, 1323, 1431, 2597, 3339, 7791, 10017, 23373

Step-4: Factors of 70133

List of positive integer factors of 70133 that divides 70119 without a remainder.

1, 7, 43, 233, 301, 1631, 10019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70119 and 70133. The biggest common factor number is the GCF number.
So the greatest common factor 70119 and 70133 is 7.

Also check out the Least Common Multiple of 70119 and 70133