What is the Greatest Common Factor of 46725 and 46737?

Greatest common factor (GCF) of 46725 and 46737 is 3.

GCF(46725,46737) = 3

We will now calculate the prime factors of 46725 and 46737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46725 and 46737.

How to find the GCF of 46725 and 46737?

We will first find the prime factorization of 46725 and 46737. After we will calculate the factors of 46725 and 46737 and find the biggest common factor number .

Step-1: Prime Factorization of 46725

Prime factors of 46725 are 3, 5, 7, 89. Prime factorization of 46725 in exponential form is:

46725 = 3¹ × 5² × 7¹ × 89¹

Step-2: Prime Factorization of 46737

Prime factors of 46737 are 3, 577. Prime factorization of 46737 in exponential form is:

46737 = 3⁴ × 577¹

Step-3: Factors of 46725

List of positive integer factors of 46725 that divides 46725 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 89, 105, 175, 267, 445, 525, 623, 1335, 1869, 2225, 3115, 6675, 9345, 15575

Step-4: Factors of 46737

List of positive integer factors of 46737 that divides 46725 without a remainder.

1, 3, 9, 27, 81, 577, 1731, 5193, 15579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46725 and 46737. The biggest common factor number is the GCF number.
So the greatest common factor 46725 and 46737 is 3.

Also check out the Least Common Multiple of 46725 and 46737