What is the Greatest Common Factor of 45650 and 45670?

Greatest common factor (GCF) of 45650 and 45670 is 10.

GCF(45650,45670) = 10

We will now calculate the prime factors of 45650 and 45670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45650 and 45670.

How to find the GCF of 45650 and 45670?

We will first find the prime factorization of 45650 and 45670. After we will calculate the factors of 45650 and 45670 and find the biggest common factor number .

Step-1: Prime Factorization of 45650

Prime factors of 45650 are 2, 5, 11, 83. Prime factorization of 45650 in exponential form is:

45650 = 2¹ × 5² × 11¹ × 83¹

Step-2: Prime Factorization of 45670

Prime factors of 45670 are 2, 5, 4567. Prime factorization of 45670 in exponential form is:

45670 = 2¹ × 5¹ × 4567¹

Step-3: Factors of 45650

List of positive integer factors of 45650 that divides 45650 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 83, 110, 166, 275, 415, 550, 830, 913, 1826, 2075, 4150, 4565, 9130, 22825

Step-4: Factors of 45670

List of positive integer factors of 45670 that divides 45650 without a remainder.

1, 2, 5, 10, 4567, 9134, 22835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45650 and 45670. The biggest common factor number is the GCF number.
So the greatest common factor 45650 and 45670 is 10.

Also check out the Least Common Multiple of 45650 and 45670