What is the Greatest Common Factor of 46707 and 46725?

Greatest common factor (GCF) of 46707 and 46725 is 3.

GCF(46707,46725) = 3

We will now calculate the prime factors of 46707 and 46725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46707 and 46725.

How to find the GCF of 46707 and 46725?

We will first find the prime factorization of 46707 and 46725. After we will calculate the factors of 46707 and 46725 and find the biggest common factor number .

Step-1: Prime Factorization of 46707

Prime factors of 46707 are 3, 15569. Prime factorization of 46707 in exponential form is:

46707 = 3¹ × 15569¹

Step-2: 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-3: Factors of 46707

List of positive integer factors of 46707 that divides 46707 without a remainder.

1, 3, 15569

Step-4: Factors of 46725

List of positive integer factors of 46725 that divides 46707 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46707 and 46725. The biggest common factor number is the GCF number.
So the greatest common factor 46707 and 46725 is 3.

Also check out the Least Common Multiple of 46707 and 46725