What is the Greatest Common Factor of 45452 and 45470?

Greatest common factor (GCF) of 45452 and 45470 is 2.

GCF(45452,45470) = 2

We will now calculate the prime factors of 45452 and 45470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45452 and 45470.

How to find the GCF of 45452 and 45470?

We will first find the prime factorization of 45452 and 45470. After we will calculate the factors of 45452 and 45470 and find the biggest common factor number .

Step-1: Prime Factorization of 45452

Prime factors of 45452 are 2, 11, 1033. Prime factorization of 45452 in exponential form is:

45452 = 2² × 11¹ × 1033¹

Step-2: Prime Factorization of 45470

Prime factors of 45470 are 2, 5, 4547. Prime factorization of 45470 in exponential form is:

45470 = 2¹ × 5¹ × 4547¹

Step-3: Factors of 45452

List of positive integer factors of 45452 that divides 45452 without a remainder.

1, 2, 4, 11, 22, 44, 1033, 2066, 4132, 11363, 22726

Step-4: Factors of 45470

List of positive integer factors of 45470 that divides 45452 without a remainder.

1, 2, 5, 10, 4547, 9094, 22735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45452 and 45470. The biggest common factor number is the GCF number.
So the greatest common factor 45452 and 45470 is 2.

Also check out the Least Common Multiple of 45452 and 45470