What is the Greatest Common Factor of 77945 and 77965?

Greatest common factor (GCF) of 77945 and 77965 is 5.

GCF(77945,77965) = 5

We will now calculate the prime factors of 77945 and 77965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77945 and 77965.

How to find the GCF of 77945 and 77965?

We will first find the prime factorization of 77945 and 77965. After we will calculate the factors of 77945 and 77965 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 77965

Prime factors of 77965 are 5, 31, 503. Prime factorization of 77965 in exponential form is:

77965 = 5¹ × 31¹ × 503¹

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 77965

List of positive integer factors of 77965 that divides 77945 without a remainder.

1, 5, 31, 155, 503, 2515, 15593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77945 and 77965. The biggest common factor number is the GCF number.
So the greatest common factor 77945 and 77965 is 5.

Also check out the Least Common Multiple of 77945 and 77965