What is the Greatest Common Factor of 70108 and 70125?

Greatest common factor (GCF) of 70108 and 70125 is 17.

GCF(70108,70125) = 17

We will now calculate the prime factors of 70108 and 70125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70108 and 70125.

How to find the GCF of 70108 and 70125?

We will first find the prime factorization of 70108 and 70125. After we will calculate the factors of 70108 and 70125 and find the biggest common factor number .

Step-1: Prime Factorization of 70108

Prime factors of 70108 are 2, 17, 1031. Prime factorization of 70108 in exponential form is:

70108 = 2² × 17¹ × 1031¹

Step-2: 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-3: Factors of 70108

List of positive integer factors of 70108 that divides 70108 without a remainder.

1, 2, 4, 17, 34, 68, 1031, 2062, 4124, 17527, 35054

Step-4: Factors of 70125

List of positive integer factors of 70125 that divides 70108 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70108 and 70125. The biggest common factor number is the GCF number.
So the greatest common factor 70108 and 70125 is 17.

Also check out the Least Common Multiple of 70108 and 70125