What is the Greatest Common Factor of 77945 and 77955?

Greatest common factor (GCF) of 77945 and 77955 is 5.

GCF(77945,77955) = 5

We will now calculate the prime factors of 77945 and 77955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77945 and 77955.

How to find the GCF of 77945 and 77955?

We will first find the prime factorization of 77945 and 77955. After we will calculate the factors of 77945 and 77955 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 77955

Prime factors of 77955 are 3, 5, 5197. Prime factorization of 77955 in exponential form is:

77955 = 3¹ × 5¹ × 5197¹

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 77955

List of positive integer factors of 77955 that divides 77945 without a remainder.

1, 3, 5, 15, 5197, 15591, 25985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77945 and 77955. The biggest common factor number is the GCF number.
So the greatest common factor 77945 and 77955 is 5.

Also check out the Least Common Multiple of 77945 and 77955