What is the Greatest Common Factor of 78465 and 78477?

Greatest common factor (GCF) of 78465 and 78477 is 3.

GCF(78465,78477) = 3

We will now calculate the prime factors of 78465 and 78477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78465 and 78477.

How to find the GCF of 78465 and 78477?

We will first find the prime factorization of 78465 and 78477. After we will calculate the factors of 78465 and 78477 and find the biggest common factor number .

Step-1: Prime Factorization of 78465

Prime factors of 78465 are 3, 5, 5231. Prime factorization of 78465 in exponential form is:

78465 = 3¹ × 5¹ × 5231¹

Step-2: Prime Factorization of 78477

Prime factors of 78477 are 3, 7, 37, 101. Prime factorization of 78477 in exponential form is:

78477 = 3¹ × 7¹ × 37¹ × 101¹

Step-3: Factors of 78465

List of positive integer factors of 78465 that divides 78465 without a remainder.

1, 3, 5, 15, 5231, 15693, 26155

Step-4: Factors of 78477

List of positive integer factors of 78477 that divides 78465 without a remainder.

1, 3, 7, 21, 37, 101, 111, 259, 303, 707, 777, 2121, 3737, 11211, 26159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78465 and 78477. The biggest common factor number is the GCF number.
So the greatest common factor 78465 and 78477 is 3.

Also check out the Least Common Multiple of 78465 and 78477