What is the Greatest Common Factor of 81942 and 81960?

Greatest common factor (GCF) of 81942 and 81960 is 6.

GCF(81942,81960) = 6

We will now calculate the prime factors of 81942 and 81960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81942 and 81960.

How to find the GCF of 81942 and 81960?

We will first find the prime factorization of 81942 and 81960. After we will calculate the factors of 81942 and 81960 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 81960

Prime factors of 81960 are 2, 3, 5, 683. Prime factorization of 81960 in exponential form is:

81960 = 2³ × 3¹ × 5¹ × 683¹

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 81960

List of positive integer factors of 81960 that divides 81942 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 683, 1366, 2049, 2732, 3415, 4098, 5464, 6830, 8196, 10245, 13660, 16392, 20490, 27320, 40980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81942 and 81960. The biggest common factor number is the GCF number.
So the greatest common factor 81942 and 81960 is 6.

Also check out the Least Common Multiple of 81942 and 81960