What is the Greatest Common Factor of 45710 and 45717?

Greatest common factor (GCF) of 45710 and 45717 is 7.

GCF(45710,45717) = 7

We will now calculate the prime factors of 45710 and 45717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45710 and 45717.

How to find the GCF of 45710 and 45717?

We will first find the prime factorization of 45710 and 45717. After we will calculate the factors of 45710 and 45717 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45717

Prime factors of 45717 are 3, 7, 311. Prime factorization of 45717 in exponential form is:

45717 = 3¹ × 7² × 311¹

Step-3: Factors of 45710

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

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

Step-4: Factors of 45717

List of positive integer factors of 45717 that divides 45710 without a remainder.

1, 3, 7, 21, 49, 147, 311, 933, 2177, 6531, 15239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45710 and 45717. The biggest common factor number is the GCF number.
So the greatest common factor 45710 and 45717 is 7.

Also check out the Least Common Multiple of 45710 and 45717