What is the Greatest Common Factor of 46705 and 46725?

Greatest common factor (GCF) of 46705 and 46725 is 5.

GCF(46705,46725) = 5

We will now calculate the prime factors of 46705 and 46725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46705 and 46725.

How to find the GCF of 46705 and 46725?

We will first find the prime factorization of 46705 and 46725. After we will calculate the factors of 46705 and 46725 and find the biggest common factor number .

Step-1: Prime Factorization of 46705

Prime factors of 46705 are 5, 9341. Prime factorization of 46705 in exponential form is:

46705 = 5¹ × 9341¹

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 46705

List of positive integer factors of 46705 that divides 46705 without a remainder.

1, 5, 9341

Step-4: Factors of 46725

List of positive integer factors of 46725 that divides 46705 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 46705 and 46725. The biggest common factor number is the GCF number.
So the greatest common factor 46705 and 46725 is 5.

Also check out the Least Common Multiple of 46705 and 46725