What is the Greatest Common Factor of 61734 and 61750?

Greatest common factor (GCF) of 61734 and 61750 is 2.

GCF(61734,61750) = 2

We will now calculate the prime factors of 61734 and 61750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61734 and 61750.

How to find the GCF of 61734 and 61750?

We will first find the prime factorization of 61734 and 61750. After we will calculate the factors of 61734 and 61750 and find the biggest common factor number .

Step-1: Prime Factorization of 61734

Prime factors of 61734 are 2, 3, 10289. Prime factorization of 61734 in exponential form is:

61734 = 2¹ × 3¹ × 10289¹

Step-2: Prime Factorization of 61750

Prime factors of 61750 are 2, 5, 13, 19. Prime factorization of 61750 in exponential form is:

61750 = 2¹ × 5³ × 13¹ × 19¹

Step-3: Factors of 61734

List of positive integer factors of 61734 that divides 61734 without a remainder.

1, 2, 3, 6, 10289, 20578, 30867

Step-4: Factors of 61750

List of positive integer factors of 61750 that divides 61734 without a remainder.

1, 2, 5, 10, 13, 19, 25, 26, 38, 50, 65, 95, 125, 130, 190, 247, 250, 325, 475, 494, 650, 950, 1235, 1625, 2375, 2470, 3250, 4750, 6175, 12350, 30875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61734 and 61750. The biggest common factor number is the GCF number.
So the greatest common factor 61734 and 61750 is 2.

Also check out the Least Common Multiple of 61734 and 61750