What is the Greatest Common Factor of 57414 and 57431?

Greatest common factor (GCF) of 57414 and 57431 is 1.

GCF(57414,57431) = 1

We will now calculate the prime factors of 57414 and 57431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57414 and 57431.

How to find the GCF of 57414 and 57431?

We will first find the prime factorization of 57414 and 57431. After we will calculate the factors of 57414 and 57431 and find the biggest common factor number .

Step-1: Prime Factorization of 57414

Prime factors of 57414 are 2, 3, 7, 1367. Prime factorization of 57414 in exponential form is:

57414 = 2¹ × 3¹ × 7¹ × 1367¹

Step-2: Prime Factorization of 57431

Prime factors of 57431 are 11, 23, 227. Prime factorization of 57431 in exponential form is:

57431 = 11¹ × 23¹ × 227¹

Step-3: Factors of 57414

List of positive integer factors of 57414 that divides 57414 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1367, 2734, 4101, 8202, 9569, 19138, 28707

Step-4: Factors of 57431

List of positive integer factors of 57431 that divides 57414 without a remainder.

1, 11, 23, 227, 253, 2497, 5221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57414 and 57431. The biggest common factor number is the GCF number.
So the greatest common factor 57414 and 57431 is 1.

Also check out the Least Common Multiple of 57414 and 57431