What is the Greatest Common Factor of 53414 and 53429?

Greatest common factor (GCF) of 53414 and 53429 is 1.

GCF(53414,53429) = 1

We will now calculate the prime factors of 53414 and 53429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53414 and 53429.

How to find the GCF of 53414 and 53429?

We will first find the prime factorization of 53414 and 53429. After we will calculate the factors of 53414 and 53429 and find the biggest common factor number .

Step-1: Prime Factorization of 53414

Prime factors of 53414 are 2, 17, 1571. Prime factorization of 53414 in exponential form is:

53414 = 2¹ × 17¹ × 1571¹

Step-2: Prime Factorization of 53429

Prime factors of 53429 are 23, 101. Prime factorization of 53429 in exponential form is:

53429 = 23² × 101¹

Step-3: Factors of 53414

List of positive integer factors of 53414 that divides 53414 without a remainder.

1, 2, 17, 34, 1571, 3142, 26707

Step-4: Factors of 53429

List of positive integer factors of 53429 that divides 53414 without a remainder.

1, 23, 101, 529, 2323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53414 and 53429. The biggest common factor number is the GCF number.
So the greatest common factor 53414 and 53429 is 1.

Also check out the Least Common Multiple of 53414 and 53429