What is the Greatest Common Factor of 70125 and 70142?

Greatest common factor (GCF) of 70125 and 70142 is 17.

GCF(70125,70142) = 17

We will now calculate the prime factors of 70125 and 70142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70125 and 70142.

How to find the GCF of 70125 and 70142?

We will first find the prime factorization of 70125 and 70142. After we will calculate the factors of 70125 and 70142 and find the biggest common factor number .

Step-1: Prime Factorization of 70125

Prime factors of 70125 are 3, 5, 11, 17. Prime factorization of 70125 in exponential form is:

70125 = 3¹ × 5³ × 11¹ × 17¹

Step-2: Prime Factorization of 70142

Prime factors of 70142 are 2, 17, 2063. Prime factorization of 70142 in exponential form is:

70142 = 2¹ × 17¹ × 2063¹

Step-3: Factors of 70125

List of positive integer factors of 70125 that divides 70125 without a remainder.

1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 125, 165, 187, 255, 275, 375, 425, 561, 825, 935, 1275, 1375, 2125, 2805, 4125, 4675, 6375, 14025, 23375

Step-4: Factors of 70142

List of positive integer factors of 70142 that divides 70125 without a remainder.

1, 2, 17, 34, 2063, 4126, 35071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70125 and 70142. The biggest common factor number is the GCF number.
So the greatest common factor 70125 and 70142 is 17.

Also check out the Least Common Multiple of 70125 and 70142