What is the Greatest Common Factor of 71162 and 71172?

Greatest common factor (GCF) of 71162 and 71172 is 2.

GCF(71162,71172) = 2

We will now calculate the prime factors of 71162 and 71172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71162 and 71172.

How to find the GCF of 71162 and 71172?

We will first find the prime factorization of 71162 and 71172. After we will calculate the factors of 71162 and 71172 and find the biggest common factor number .

Step-1: Prime Factorization of 71162

Prime factors of 71162 are 2, 7, 13, 17, 23. Prime factorization of 71162 in exponential form is:

71162 = 2¹ × 7¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 71172

Prime factors of 71172 are 2, 3, 659. Prime factorization of 71172 in exponential form is:

71172 = 2² × 3³ × 659¹

Step-3: Factors of 71162

List of positive integer factors of 71162 that divides 71162 without a remainder.

1, 2, 7, 13, 14, 17, 23, 26, 34, 46, 91, 119, 161, 182, 221, 238, 299, 322, 391, 442, 598, 782, 1547, 2093, 2737, 3094, 4186, 5083, 5474, 10166, 35581

Step-4: Factors of 71172

List of positive integer factors of 71172 that divides 71162 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 659, 1318, 1977, 2636, 3954, 5931, 7908, 11862, 17793, 23724, 35586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71162 and 71172. The biggest common factor number is the GCF number.
So the greatest common factor 71162 and 71172 is 2.

Also check out the Least Common Multiple of 71162 and 71172