What is the Greatest Common Factor of 77045 and 77065?

Greatest common factor (GCF) of 77045 and 77065 is 5.

GCF(77045,77065) = 5

We will now calculate the prime factors of 77045 and 77065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77045 and 77065.

How to find the GCF of 77045 and 77065?

We will first find the prime factorization of 77045 and 77065. After we will calculate the factors of 77045 and 77065 and find the biggest common factor number .

Step-1: Prime Factorization of 77045

Prime factors of 77045 are 5, 19, 811. Prime factorization of 77045 in exponential form is:

77045 = 5¹ × 19¹ × 811¹

Step-2: Prime Factorization of 77065

Prime factors of 77065 are 5, 15413. Prime factorization of 77065 in exponential form is:

77065 = 5¹ × 15413¹

Step-3: Factors of 77045

List of positive integer factors of 77045 that divides 77045 without a remainder.

1, 5, 19, 95, 811, 4055, 15409

Step-4: Factors of 77065

List of positive integer factors of 77065 that divides 77045 without a remainder.

1, 5, 15413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77045 and 77065. The biggest common factor number is the GCF number.
So the greatest common factor 77045 and 77065 is 5.

Also check out the Least Common Multiple of 77045 and 77065