What is the Greatest Common Factor of 61500 and 61512?

Greatest common factor (GCF) of 61500 and 61512 is 12.

GCF(61500,61512) = 12

We will now calculate the prime factors of 61500 and 61512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61500 and 61512.

How to find the GCF of 61500 and 61512?

We will first find the prime factorization of 61500 and 61512. After we will calculate the factors of 61500 and 61512 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 61512

Prime factors of 61512 are 2, 3, 11, 233. Prime factorization of 61512 in exponential form is:

61512 = 2³ × 3¹ × 11¹ × 233¹

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 61512

List of positive integer factors of 61512 that divides 61500 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 233, 264, 466, 699, 932, 1398, 1864, 2563, 2796, 5126, 5592, 7689, 10252, 15378, 20504, 30756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61500 and 61512. The biggest common factor number is the GCF number.
So the greatest common factor 61500 and 61512 is 12.

Also check out the Least Common Multiple of 61500 and 61512