What is the Greatest Common Factor of 61731 and 61750?

Greatest common factor (GCF) of 61731 and 61750 is 19.

GCF(61731,61750) = 19

We will now calculate the prime factors of 61731 and 61750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61731 and 61750.

How to find the GCF of 61731 and 61750?

We will first find the prime factorization of 61731 and 61750. After we will calculate the factors of 61731 and 61750 and find the biggest common factor number .

Step-1: Prime Factorization of 61731

Prime factors of 61731 are 3, 19. Prime factorization of 61731 in exponential form is:

61731 = 3² × 19³

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 61731

List of positive integer factors of 61731 that divides 61731 without a remainder.

1, 3, 9, 19, 57, 171, 361, 1083, 3249, 6859, 20577

Step-4: Factors of 61750

List of positive integer factors of 61750 that divides 61731 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 61731 and 61750. The biggest common factor number is the GCF number.
So the greatest common factor 61731 and 61750 is 19.

Also check out the Least Common Multiple of 61731 and 61750