What is the Greatest Common Factor of 61500 and 61504?

Greatest common factor (GCF) of 61500 and 61504 is 4.

GCF(61500,61504) = 4

We will now calculate the prime factors of 61500 and 61504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61500 and 61504.

How to find the GCF of 61500 and 61504?

We will first find the prime factorization of 61500 and 61504. After we will calculate the factors of 61500 and 61504 and find the biggest common factor number .

Step-1: Prime Factorization of 61500

Prime factors of 61500 are 2, 3, 5, 41. Prime factorization of 61500 in exponential form is:

61500 = 2² × 3¹ × 5³ × 41¹

Step-2: Prime Factorization of 61504

Prime factors of 61504 are 2, 31. Prime factorization of 61504 in exponential form is:

61504 = 2⁶ × 31²

Step-3: Factors of 61500

List of positive integer factors of 61500 that divides 61500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 41, 50, 60, 75, 82, 100, 123, 125, 150, 164, 205, 246, 250, 300, 375, 410, 492, 500, 615, 750, 820, 1025, 1230, 1500, 2050, 2460, 3075, 4100, 5125, 6150, 10250, 12300, 15375, 20500, 30750

Step-4: Factors of 61504

List of positive integer factors of 61504 that divides 61500 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 961, 992, 1922, 1984, 3844, 7688, 15376, 30752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61500 and 61504. The biggest common factor number is the GCF number.
So the greatest common factor 61500 and 61504 is 4.

Also check out the Least Common Multiple of 61500 and 61504