What is the Greatest Common Factor of 46605 and 46625?

Greatest common factor (GCF) of 46605 and 46625 is 5.

GCF(46605,46625) = 5

We will now calculate the prime factors of 46605 and 46625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46605 and 46625.

How to find the GCF of 46605 and 46625?

We will first find the prime factorization of 46605 and 46625. After we will calculate the factors of 46605 and 46625 and find the biggest common factor number .

Step-1: Prime Factorization of 46605

Prime factors of 46605 are 3, 5, 13, 239. Prime factorization of 46605 in exponential form is:

46605 = 3¹ × 5¹ × 13¹ × 239¹

Step-2: Prime Factorization of 46625

Prime factors of 46625 are 5, 373. Prime factorization of 46625 in exponential form is:

46625 = 5³ × 373¹

Step-3: Factors of 46605

List of positive integer factors of 46605 that divides 46605 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 239, 717, 1195, 3107, 3585, 9321, 15535

Step-4: Factors of 46625

List of positive integer factors of 46625 that divides 46605 without a remainder.

1, 5, 25, 125, 373, 1865, 9325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46605 and 46625. The biggest common factor number is the GCF number.
So the greatest common factor 46605 and 46625 is 5.

Also check out the Least Common Multiple of 46605 and 46625