What is the Greatest Common Factor of 71346 and 71362?

Greatest common factor (GCF) of 71346 and 71362 is 2.

GCF(71346,71362) = 2

We will now calculate the prime factors of 71346 and 71362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71346 and 71362.

How to find the GCF of 71346 and 71362?

We will first find the prime factorization of 71346 and 71362. After we will calculate the factors of 71346 and 71362 and find the biggest common factor number .

Step-1: Prime Factorization of 71346

Prime factors of 71346 are 2, 3, 11, 23, 47. Prime factorization of 71346 in exponential form is:

71346 = 2¹ × 3¹ × 11¹ × 23¹ × 47¹

Step-2: Prime Factorization of 71362

Prime factors of 71362 are 2, 31, 1151. Prime factorization of 71362 in exponential form is:

71362 = 2¹ × 31¹ × 1151¹

Step-3: Factors of 71346

List of positive integer factors of 71346 that divides 71346 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 47, 66, 69, 94, 138, 141, 253, 282, 506, 517, 759, 1034, 1081, 1518, 1551, 2162, 3102, 3243, 6486, 11891, 23782, 35673

Step-4: Factors of 71362

List of positive integer factors of 71362 that divides 71346 without a remainder.

1, 2, 31, 62, 1151, 2302, 35681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71346 and 71362. The biggest common factor number is the GCF number.
So the greatest common factor 71346 and 71362 is 2.

Also check out the Least Common Multiple of 71346 and 71362