What is the Greatest Common Factor of 81942 and 81956?

Greatest common factor (GCF) of 81942 and 81956 is 14.

GCF(81942,81956) = 14

We will now calculate the prime factors of 81942 and 81956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81942 and 81956.

How to find the GCF of 81942 and 81956?

We will first find the prime factorization of 81942 and 81956. After we will calculate the factors of 81942 and 81956 and find the biggest common factor number .

Step-1: Prime Factorization of 81942

Prime factors of 81942 are 2, 3, 7, 1951. Prime factorization of 81942 in exponential form is:

81942 = 2¹ × 3¹ × 7¹ × 1951¹

Step-2: Prime Factorization of 81956

Prime factors of 81956 are 2, 7, 2927. Prime factorization of 81956 in exponential form is:

81956 = 2² × 7¹ × 2927¹

Step-3: Factors of 81942

List of positive integer factors of 81942 that divides 81942 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1951, 3902, 5853, 11706, 13657, 27314, 40971

Step-4: Factors of 81956

List of positive integer factors of 81956 that divides 81942 without a remainder.

1, 2, 4, 7, 14, 28, 2927, 5854, 11708, 20489, 40978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81942 and 81956. The biggest common factor number is the GCF number.
So the greatest common factor 81942 and 81956 is 14.

Also check out the Least Common Multiple of 81942 and 81956