What is the Greatest Common Factor of 41625 and 41640?

Greatest common factor (GCF) of 41625 and 41640 is 15.

GCF(41625,41640) = 15

We will now calculate the prime factors of 41625 and 41640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41625 and 41640.

How to find the GCF of 41625 and 41640?

We will first find the prime factorization of 41625 and 41640. After we will calculate the factors of 41625 and 41640 and find the biggest common factor number .

Step-1: Prime Factorization of 41625

Prime factors of 41625 are 3, 5, 37. Prime factorization of 41625 in exponential form is:

41625 = 3² × 5³ × 37¹

Step-2: Prime Factorization of 41640

Prime factors of 41640 are 2, 3, 5, 347. Prime factorization of 41640 in exponential form is:

41640 = 2³ × 3¹ × 5¹ × 347¹

Step-3: Factors of 41625

List of positive integer factors of 41625 that divides 41625 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555, 925, 1125, 1665, 2775, 4625, 8325, 13875

Step-4: Factors of 41640

List of positive integer factors of 41640 that divides 41625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 347, 694, 1041, 1388, 1735, 2082, 2776, 3470, 4164, 5205, 6940, 8328, 10410, 13880, 20820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41625 and 41640. The biggest common factor number is the GCF number.
So the greatest common factor 41625 and 41640 is 15.

Also check out the Least Common Multiple of 41625 and 41640