What is the Greatest Common Factor of 46725 and 46740?

Greatest common factor (GCF) of 46725 and 46740 is 15.

GCF(46725,46740) = 15

We will now calculate the prime factors of 46725 and 46740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46725 and 46740.

How to find the GCF of 46725 and 46740?

We will first find the prime factorization of 46725 and 46740. After we will calculate the factors of 46725 and 46740 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 46740

Prime factors of 46740 are 2, 3, 5, 19, 41. Prime factorization of 46740 in exponential form is:

46740 = 2² × 3¹ × 5¹ × 19¹ × 41¹

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 46740

List of positive integer factors of 46740 that divides 46725 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 41, 57, 60, 76, 82, 95, 114, 123, 164, 190, 205, 228, 246, 285, 380, 410, 492, 570, 615, 779, 820, 1140, 1230, 1558, 2337, 2460, 3116, 3895, 4674, 7790, 9348, 11685, 15580, 23370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46725 and 46740. The biggest common factor number is the GCF number.
So the greatest common factor 46725 and 46740 is 15.

Also check out the Least Common Multiple of 46725 and 46740