What is the Greatest Common Factor of 77940 and 77945?

Greatest common factor (GCF) of 77940 and 77945 is 5.

GCF(77940,77945) = 5

We will now calculate the prime factors of 77940 and 77945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77940 and 77945.

How to find the GCF of 77940 and 77945?

We will first find the prime factorization of 77940 and 77945. After we will calculate the factors of 77940 and 77945 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 77945

Prime factors of 77945 are 5, 7, 17, 131. Prime factorization of 77945 in exponential form is:

77945 = 5¹ × 7¹ × 17¹ × 131¹

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 77945

List of positive integer factors of 77945 that divides 77940 without a remainder.

1, 5, 7, 17, 35, 85, 119, 131, 595, 655, 917, 2227, 4585, 11135, 15589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77940 and 77945. The biggest common factor number is the GCF number.
So the greatest common factor 77940 and 77945 is 5.

Also check out the Least Common Multiple of 77940 and 77945