What is the Greatest Common Factor of 45700 and 45710?

Greatest common factor (GCF) of 45700 and 45710 is 10.

GCF(45700,45710) = 10

We will now calculate the prime factors of 45700 and 45710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45700 and 45710.

How to find the GCF of 45700 and 45710?

We will first find the prime factorization of 45700 and 45710. After we will calculate the factors of 45700 and 45710 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 45710

Prime factors of 45710 are 2, 5, 7, 653. Prime factorization of 45710 in exponential form is:

45710 = 2¹ × 5¹ × 7¹ × 653¹

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 45710

List of positive integer factors of 45710 that divides 45700 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 653, 1306, 3265, 4571, 6530, 9142, 22855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45700 and 45710. The biggest common factor number is the GCF number.
So the greatest common factor 45700 and 45710 is 10.

Also check out the Least Common Multiple of 45700 and 45710