What is the Greatest Common Factor of 71848 and 71862?

Greatest common factor (GCF) of 71848 and 71862 is 14.

GCF(71848,71862) = 14

We will now calculate the prime factors of 71848 and 71862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71848 and 71862.

How to find the GCF of 71848 and 71862?

We will first find the prime factorization of 71848 and 71862. After we will calculate the factors of 71848 and 71862 and find the biggest common factor number .

Step-1: Prime Factorization of 71848

Prime factors of 71848 are 2, 7, 1283. Prime factorization of 71848 in exponential form is:

71848 = 2³ × 7¹ × 1283¹

Step-2: Prime Factorization of 71862

Prime factors of 71862 are 2, 3, 7, 29, 59. Prime factorization of 71862 in exponential form is:

71862 = 2¹ × 3¹ × 7¹ × 29¹ × 59¹

Step-3: Factors of 71848

List of positive integer factors of 71848 that divides 71848 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1283, 2566, 5132, 8981, 10264, 17962, 35924

Step-4: Factors of 71862

List of positive integer factors of 71862 that divides 71848 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 59, 87, 118, 174, 177, 203, 354, 406, 413, 609, 826, 1218, 1239, 1711, 2478, 3422, 5133, 10266, 11977, 23954, 35931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71848 and 71862. The biggest common factor number is the GCF number.
So the greatest common factor 71848 and 71862 is 14.

Also check out the Least Common Multiple of 71848 and 71862