What is the Greatest Common Factor of 45537 and 45546?

Greatest common factor (GCF) of 45537 and 45546 is 3.

GCF(45537,45546) = 3

We will now calculate the prime factors of 45537 and 45546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45537 and 45546.

How to find the GCF of 45537 and 45546?

We will first find the prime factorization of 45537 and 45546. After we will calculate the factors of 45537 and 45546 and find the biggest common factor number .

Step-1: Prime Factorization of 45537

Prime factors of 45537 are 3, 43, 353. Prime factorization of 45537 in exponential form is:

45537 = 3¹ × 43¹ × 353¹

Step-2: Prime Factorization of 45546

Prime factors of 45546 are 2, 3, 7591. Prime factorization of 45546 in exponential form is:

45546 = 2¹ × 3¹ × 7591¹

Step-3: Factors of 45537

List of positive integer factors of 45537 that divides 45537 without a remainder.

1, 3, 43, 129, 353, 1059, 15179

Step-4: Factors of 45546

List of positive integer factors of 45546 that divides 45537 without a remainder.

1, 2, 3, 6, 7591, 15182, 22773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45537 and 45546. The biggest common factor number is the GCF number.
So the greatest common factor 45537 and 45546 is 3.

Also check out the Least Common Multiple of 45537 and 45546