What is the Greatest Common Factor of 46545 and 46549?

Greatest common factor (GCF) of 46545 and 46549 is 1.

GCF(46545,46549) = 1

We will now calculate the prime factors of 46545 and 46549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46545 and 46549.

How to find the GCF of 46545 and 46549?

We will first find the prime factorization of 46545 and 46549. After we will calculate the factors of 46545 and 46549 and find the biggest common factor number .

Step-1: Prime Factorization of 46545

Prime factors of 46545 are 3, 5, 29, 107. Prime factorization of 46545 in exponential form is:

46545 = 3¹ × 5¹ × 29¹ × 107¹

Step-2: Prime Factorization of 46549

Prime factors of 46549 are 46549. Prime factorization of 46549 in exponential form is:

46549 = 46549¹

Step-3: Factors of 46545

List of positive integer factors of 46545 that divides 46545 without a remainder.

1, 3, 5, 15, 29, 87, 107, 145, 321, 435, 535, 1605, 3103, 9309, 15515

Step-4: Factors of 46549

List of positive integer factors of 46549 that divides 46545 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46545 and 46549. The biggest common factor number is the GCF number.
So the greatest common factor 46545 and 46549 is 1.

Also check out the Least Common Multiple of 46545 and 46549