What is the Greatest Common Factor of 13419 and 13430?

Greatest common factor (GCF) of 13419 and 13430 is 1.

GCF(13419,13430) = 1

We will now calculate the prime factors of 13419 and 13430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13419 and 13430.

How to find the GCF of 13419 and 13430?

We will first find the prime factorization of 13419 and 13430. After we will calculate the factors of 13419 and 13430 and find the biggest common factor number .

Step-1: Prime Factorization of 13419

Prime factors of 13419 are 3, 7, 71. Prime factorization of 13419 in exponential form is:

13419 = 3³ × 7¹ × 71¹

Step-2: Prime Factorization of 13430

Prime factors of 13430 are 2, 5, 17, 79. Prime factorization of 13430 in exponential form is:

13430 = 2¹ × 5¹ × 17¹ × 79¹

Step-3: Factors of 13419

List of positive integer factors of 13419 that divides 13419 without a remainder.

1, 3, 7, 9, 21, 27, 63, 71, 189, 213, 497, 639, 1491, 1917, 4473

Step-4: Factors of 13430

List of positive integer factors of 13430 that divides 13419 without a remainder.

1, 2, 5, 10, 17, 34, 79, 85, 158, 170, 395, 790, 1343, 2686, 6715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13419 and 13430. The biggest common factor number is the GCF number.
So the greatest common factor 13419 and 13430 is 1.

Also check out the Least Common Multiple of 13419 and 13430