What is the Greatest Common Factor of 77921 and 77940?

Greatest common factor (GCF) of 77921 and 77940 is 1.

GCF(77921,77940) = 1

We will now calculate the prime factors of 77921 and 77940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77921 and 77940.

How to find the GCF of 77921 and 77940?

We will first find the prime factorization of 77921 and 77940. After we will calculate the factors of 77921 and 77940 and find the biggest common factor number .

Step-1: Prime Factorization of 77921

Prime factors of 77921 are 67, 1163. Prime factorization of 77921 in exponential form is:

77921 = 67¹ × 1163¹

Step-2: 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-3: Factors of 77921

List of positive integer factors of 77921 that divides 77921 without a remainder.

1, 67, 1163

Step-4: Factors of 77940

List of positive integer factors of 77940 that divides 77921 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77921 and 77940. The biggest common factor number is the GCF number.
So the greatest common factor 77921 and 77940 is 1.

Also check out the Least Common Multiple of 77921 and 77940