What is the Greatest Common Factor of 45700 and 45714?

Greatest common factor (GCF) of 45700 and 45714 is 2.

GCF(45700,45714) = 2

We will now calculate the prime factors of 45700 and 45714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45700 and 45714.

How to find the GCF of 45700 and 45714?

We will first find the prime factorization of 45700 and 45714. After we will calculate the factors of 45700 and 45714 and find the biggest common factor number .

Step-1: Prime Factorization of 45700

Prime factors of 45700 are 2, 5, 457. Prime factorization of 45700 in exponential form is:

45700 = 2² × 5² × 457¹

Step-2: Prime Factorization of 45714

Prime factors of 45714 are 2, 3, 19, 401. Prime factorization of 45714 in exponential form is:

45714 = 2¹ × 3¹ × 19¹ × 401¹

Step-3: Factors of 45700

List of positive integer factors of 45700 that divides 45700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 457, 914, 1828, 2285, 4570, 9140, 11425, 22850

Step-4: Factors of 45714

List of positive integer factors of 45714 that divides 45700 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 401, 802, 1203, 2406, 7619, 15238, 22857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45700 and 45714. The biggest common factor number is the GCF number.
So the greatest common factor 45700 and 45714 is 2.

Also check out the Least Common Multiple of 45700 and 45714