What is the Greatest Common Factor of 45416 and 45431?

Greatest common factor (GCF) of 45416 and 45431 is 1.

GCF(45416,45431) = 1

We will now calculate the prime factors of 45416 and 45431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45416 and 45431.

How to find the GCF of 45416 and 45431?

We will first find the prime factorization of 45416 and 45431. After we will calculate the factors of 45416 and 45431 and find the biggest common factor number .

Step-1: Prime Factorization of 45416

Prime factors of 45416 are 2, 7, 811. Prime factorization of 45416 in exponential form is:

45416 = 2³ × 7¹ × 811¹

Step-2: Prime Factorization of 45431

Prime factors of 45431 are 181, 251. Prime factorization of 45431 in exponential form is:

45431 = 181¹ × 251¹

Step-3: Factors of 45416

List of positive integer factors of 45416 that divides 45416 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 811, 1622, 3244, 5677, 6488, 11354, 22708

Step-4: Factors of 45431

List of positive integer factors of 45431 that divides 45416 without a remainder.

1, 181, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45416 and 45431. The biggest common factor number is the GCF number.
So the greatest common factor 45416 and 45431 is 1.

Also check out the Least Common Multiple of 45416 and 45431