What is the Greatest Common Factor of 61494 and 61500?

Greatest common factor (GCF) of 61494 and 61500 is 6.

GCF(61494,61500) = 6

We will now calculate the prime factors of 61494 and 61500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61494 and 61500.

How to find the GCF of 61494 and 61500?

We will first find the prime factorization of 61494 and 61500. After we will calculate the factors of 61494 and 61500 and find the biggest common factor number .

Step-1: Prime Factorization of 61494

Prime factors of 61494 are 2, 3, 37, 277. Prime factorization of 61494 in exponential form is:

61494 = 2¹ × 3¹ × 37¹ × 277¹

Step-2: 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-3: Factors of 61494

List of positive integer factors of 61494 that divides 61494 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 277, 554, 831, 1662, 10249, 20498, 30747

Step-4: Factors of 61500

List of positive integer factors of 61500 that divides 61494 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61494 and 61500. The biggest common factor number is the GCF number.
So the greatest common factor 61494 and 61500 is 6.

Also check out the Least Common Multiple of 61494 and 61500