What is the Greatest Common Factor of 53414 and 53431?

Greatest common factor (GCF) of 53414 and 53431 is 17.

GCF(53414,53431) = 17

We will now calculate the prime factors of 53414 and 53431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53414 and 53431.

How to find the GCF of 53414 and 53431?

We will first find the prime factorization of 53414 and 53431. After we will calculate the factors of 53414 and 53431 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 53431

Prime factors of 53431 are 7, 17, 449. Prime factorization of 53431 in exponential form is:

53431 = 7¹ × 17¹ × 449¹

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 53431

List of positive integer factors of 53431 that divides 53414 without a remainder.

1, 7, 17, 119, 449, 3143, 7633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53414 and 53431. The biggest common factor number is the GCF number.
So the greatest common factor 53414 and 53431 is 17.

Also check out the Least Common Multiple of 53414 and 53431