What is the Greatest Common Factor of 67785 and 67795?

Greatest common factor (GCF) of 67785 and 67795 is 5.

GCF(67785,67795) = 5

We will now calculate the prime factors of 67785 and 67795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67785 and 67795.

How to find the GCF of 67785 and 67795?

We will first find the prime factorization of 67785 and 67795. After we will calculate the factors of 67785 and 67795 and find the biggest common factor number .

Step-1: Prime Factorization of 67785

Prime factors of 67785 are 3, 5, 4519. Prime factorization of 67785 in exponential form is:

67785 = 3¹ × 5¹ × 4519¹

Step-2: Prime Factorization of 67795

Prime factors of 67795 are 5, 7, 13, 149. Prime factorization of 67795 in exponential form is:

67795 = 5¹ × 7¹ × 13¹ × 149¹

Step-3: Factors of 67785

List of positive integer factors of 67785 that divides 67785 without a remainder.

1, 3, 5, 15, 4519, 13557, 22595

Step-4: Factors of 67795

List of positive integer factors of 67795 that divides 67785 without a remainder.

1, 5, 7, 13, 35, 65, 91, 149, 455, 745, 1043, 1937, 5215, 9685, 13559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67785 and 67795. The biggest common factor number is the GCF number.
So the greatest common factor 67785 and 67795 is 5.

Also check out the Least Common Multiple of 67785 and 67795