What is the Greatest Common Factor of 46545 and 46561?

Greatest common factor (GCF) of 46545 and 46561 is 1.

GCF(46545,46561) = 1

We will now calculate the prime factors of 46545 and 46561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46545 and 46561.

How to find the GCF of 46545 and 46561?

We will first find the prime factorization of 46545 and 46561. After we will calculate the factors of 46545 and 46561 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 46561

Prime factors of 46561 are 101, 461. Prime factorization of 46561 in exponential form is:

46561 = 101¹ × 461¹

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 46561

List of positive integer factors of 46561 that divides 46545 without a remainder.

1, 101, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46545 and 46561. The biggest common factor number is the GCF number.
So the greatest common factor 46545 and 46561 is 1.

Also check out the Least Common Multiple of 46545 and 46561