What is the Greatest Common Factor of 67419 and 67430?

Greatest common factor (GCF) of 67419 and 67430 is 11.

GCF(67419,67430) = 11

We will now calculate the prime factors of 67419 and 67430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67419 and 67430.

How to find the GCF of 67419 and 67430?

We will first find the prime factorization of 67419 and 67430. After we will calculate the factors of 67419 and 67430 and find the biggest common factor number .

Step-1: Prime Factorization of 67419

Prime factors of 67419 are 3, 11, 227. Prime factorization of 67419 in exponential form is:

67419 = 3³ × 11¹ × 227¹

Step-2: Prime Factorization of 67430

Prime factors of 67430 are 2, 5, 11, 613. Prime factorization of 67430 in exponential form is:

67430 = 2¹ × 5¹ × 11¹ × 613¹

Step-3: Factors of 67419

List of positive integer factors of 67419 that divides 67419 without a remainder.

1, 3, 9, 11, 27, 33, 99, 227, 297, 681, 2043, 2497, 6129, 7491, 22473

Step-4: Factors of 67430

List of positive integer factors of 67430 that divides 67419 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 613, 1226, 3065, 6130, 6743, 13486, 33715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67419 and 67430. The biggest common factor number is the GCF number.
So the greatest common factor 67419 and 67430 is 11.

Also check out the Least Common Multiple of 67419 and 67430