What is the Greatest Common Factor of 67461 and 67469?

Greatest common factor (GCF) of 67461 and 67469 is 1.

GCF(67461,67469) = 1

We will now calculate the prime factors of 67461 and 67469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67461 and 67469.

How to find the GCF of 67461 and 67469?

We will first find the prime factorization of 67461 and 67469. After we will calculate the factors of 67461 and 67469 and find the biggest common factor number .

Step-1: Prime Factorization of 67461

Prime factors of 67461 are 3, 113, 199. Prime factorization of 67461 in exponential form is:

67461 = 3¹ × 113¹ × 199¹

Step-2: Prime Factorization of 67469

Prime factors of 67469 are 19, 53, 67. Prime factorization of 67469 in exponential form is:

67469 = 19¹ × 53¹ × 67¹

Step-3: Factors of 67461

List of positive integer factors of 67461 that divides 67461 without a remainder.

1, 3, 113, 199, 339, 597, 22487

Step-4: Factors of 67469

List of positive integer factors of 67469 that divides 67461 without a remainder.

1, 19, 53, 67, 1007, 1273, 3551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67461 and 67469. The biggest common factor number is the GCF number.
So the greatest common factor 67461 and 67469 is 1.

Also check out the Least Common Multiple of 67461 and 67469