What is the Greatest Common Factor of 46414 and 46429?

Greatest common factor (GCF) of 46414 and 46429 is 1.

GCF(46414,46429) = 1

We will now calculate the prime factors of 46414 and 46429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46414 and 46429.

How to find the GCF of 46414 and 46429?

We will first find the prime factorization of 46414 and 46429. After we will calculate the factors of 46414 and 46429 and find the biggest common factor number .

Step-1: Prime Factorization of 46414

Prime factors of 46414 are 2, 23, 1009. Prime factorization of 46414 in exponential form is:

46414 = 2¹ × 23¹ × 1009¹

Step-2: Prime Factorization of 46429

Prime factors of 46429 are 29, 1601. Prime factorization of 46429 in exponential form is:

46429 = 29¹ × 1601¹

Step-3: Factors of 46414

List of positive integer factors of 46414 that divides 46414 without a remainder.

1, 2, 23, 46, 1009, 2018, 23207

Step-4: Factors of 46429

List of positive integer factors of 46429 that divides 46414 without a remainder.

1, 29, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46414 and 46429. The biggest common factor number is the GCF number.
So the greatest common factor 46414 and 46429 is 1.

Also check out the Least Common Multiple of 46414 and 46429