What is the Greatest Common Factor of 61492 and 61500?

Greatest common factor (GCF) of 61492 and 61500 is 4.

GCF(61492,61500) = 4

We will now calculate the prime factors of 61492 and 61500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61492 and 61500.

How to find the GCF of 61492 and 61500?

We will first find the prime factorization of 61492 and 61500. After we will calculate the factors of 61492 and 61500 and find the biggest common factor number .

Step-1: Prime Factorization of 61492

Prime factors of 61492 are 2, 15373. Prime factorization of 61492 in exponential form is:

61492 = 2² × 15373¹

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 61492

List of positive integer factors of 61492 that divides 61492 without a remainder.

1, 2, 4, 15373, 30746

Step-4: Factors of 61500

List of positive integer factors of 61500 that divides 61492 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 61492 and 61500. The biggest common factor number is the GCF number.
So the greatest common factor 61492 and 61500 is 4.

Also check out the Least Common Multiple of 61492 and 61500