What is the Greatest Common Factor of 67461 and 67470?

Greatest common factor (GCF) of 67461 and 67470 is 3.

GCF(67461,67470) = 3

We will now calculate the prime factors of 67461 and 67470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67461 and 67470.

How to find the GCF of 67461 and 67470?

We will first find the prime factorization of 67461 and 67470. After we will calculate the factors of 67461 and 67470 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 67470

Prime factors of 67470 are 2, 3, 5, 13, 173. Prime factorization of 67470 in exponential form is:

67470 = 2¹ × 3¹ × 5¹ × 13¹ × 173¹

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 67470

List of positive integer factors of 67470 that divides 67461 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 173, 195, 346, 390, 519, 865, 1038, 1730, 2249, 2595, 4498, 5190, 6747, 11245, 13494, 22490, 33735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67461 and 67470. The biggest common factor number is the GCF number.
So the greatest common factor 67461 and 67470 is 3.

Also check out the Least Common Multiple of 67461 and 67470