What is the Greatest Common Factor of 77940 and 77946?

Greatest common factor (GCF) of 77940 and 77946 is 6.

GCF(77940,77946) = 6

We will now calculate the prime factors of 77940 and 77946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77940 and 77946.

How to find the GCF of 77940 and 77946?

We will first find the prime factorization of 77940 and 77946. After we will calculate the factors of 77940 and 77946 and find the biggest common factor number .

Step-1: Prime Factorization of 77940

Prime factors of 77940 are 2, 3, 5, 433. Prime factorization of 77940 in exponential form is:

77940 = 2² × 3² × 5¹ × 433¹

Step-2: Prime Factorization of 77946

Prime factors of 77946 are 2, 3, 11, 1181. Prime factorization of 77946 in exponential form is:

77946 = 2¹ × 3¹ × 11¹ × 1181¹

Step-3: Factors of 77940

List of positive integer factors of 77940 that divides 77940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 433, 866, 1299, 1732, 2165, 2598, 3897, 4330, 5196, 6495, 7794, 8660, 12990, 15588, 19485, 25980, 38970

Step-4: Factors of 77946

List of positive integer factors of 77946 that divides 77940 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1181, 2362, 3543, 7086, 12991, 25982, 38973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77940 and 77946. The biggest common factor number is the GCF number.
So the greatest common factor 77940 and 77946 is 6.

Also check out the Least Common Multiple of 77940 and 77946