What is the Greatest Common Factor of 46710 and 46725?

Greatest common factor (GCF) of 46710 and 46725 is 15.

GCF(46710,46725) = 15

We will now calculate the prime factors of 46710 and 46725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46710 and 46725.

How to find the GCF of 46710 and 46725?

We will first find the prime factorization of 46710 and 46725. After we will calculate the factors of 46710 and 46725 and find the biggest common factor number .

Step-1: Prime Factorization of 46710

Prime factors of 46710 are 2, 3, 5, 173. Prime factorization of 46710 in exponential form is:

46710 = 2¹ × 3³ × 5¹ × 173¹

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 46710

List of positive integer factors of 46710 that divides 46710 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 173, 270, 346, 519, 865, 1038, 1557, 1730, 2595, 3114, 4671, 5190, 7785, 9342, 15570, 23355

Step-4: Factors of 46725

List of positive integer factors of 46725 that divides 46710 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 46710 and 46725. The biggest common factor number is the GCF number.
So the greatest common factor 46710 and 46725 is 15.

Also check out the Least Common Multiple of 46710 and 46725