What is the Greatest Common Factor of 77945 and 77963?

Greatest common factor (GCF) of 77945 and 77963 is 1.

GCF(77945,77963) = 1

We will now calculate the prime factors of 77945 and 77963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77945 and 77963.

How to find the GCF of 77945 and 77963?

We will first find the prime factorization of 77945 and 77963. After we will calculate the factors of 77945 and 77963 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77963

Prime factors of 77963 are 53, 1471. Prime factorization of 77963 in exponential form is:

77963 = 53¹ × 1471¹

Step-3: Factors of 77945

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

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

Step-4: Factors of 77963

List of positive integer factors of 77963 that divides 77945 without a remainder.

1, 53, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77945 and 77963. The biggest common factor number is the GCF number.
So the greatest common factor 77945 and 77963 is 1.

Also check out the Least Common Multiple of 77945 and 77963