What is the Greatest Common Factor of 71929 and 71942?

Greatest common factor (GCF) of 71929 and 71942 is 13.

GCF(71929,71942) = 13

We will now calculate the prime factors of 71929 and 71942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71929 and 71942.

How to find the GCF of 71929 and 71942?

We will first find the prime factorization of 71929 and 71942. After we will calculate the factors of 71929 and 71942 and find the biggest common factor number .

Step-1: Prime Factorization of 71929

Prime factors of 71929 are 11, 13, 503. Prime factorization of 71929 in exponential form is:

71929 = 11¹ × 13¹ × 503¹

Step-2: Prime Factorization of 71942

Prime factors of 71942 are 2, 13, 2767. Prime factorization of 71942 in exponential form is:

71942 = 2¹ × 13¹ × 2767¹

Step-3: Factors of 71929

List of positive integer factors of 71929 that divides 71929 without a remainder.

1, 11, 13, 143, 503, 5533, 6539

Step-4: Factors of 71942

List of positive integer factors of 71942 that divides 71929 without a remainder.

1, 2, 13, 26, 2767, 5534, 35971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71929 and 71942. The biggest common factor number is the GCF number.
So the greatest common factor 71929 and 71942 is 13.

Also check out the Least Common Multiple of 71929 and 71942