What is the Greatest Common Factor of 64730 and 64750?

Greatest common factor (GCF) of 64730 and 64750 is 10.

GCF(64730,64750) = 10

We will now calculate the prime factors of 64730 and 64750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64730 and 64750.

How to find the GCF of 64730 and 64750?

We will first find the prime factorization of 64730 and 64750. After we will calculate the factors of 64730 and 64750 and find the biggest common factor number .

Step-1: Prime Factorization of 64730

Prime factors of 64730 are 2, 5, 6473. Prime factorization of 64730 in exponential form is:

64730 = 2¹ × 5¹ × 6473¹

Step-2: Prime Factorization of 64750

Prime factors of 64750 are 2, 5, 7, 37. Prime factorization of 64750 in exponential form is:

64750 = 2¹ × 5³ × 7¹ × 37¹

Step-3: Factors of 64730

List of positive integer factors of 64730 that divides 64730 without a remainder.

1, 2, 5, 10, 6473, 12946, 32365

Step-4: Factors of 64750

List of positive integer factors of 64750 that divides 64730 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 37, 50, 70, 74, 125, 175, 185, 250, 259, 350, 370, 518, 875, 925, 1295, 1750, 1850, 2590, 4625, 6475, 9250, 12950, 32375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64730 and 64750. The biggest common factor number is the GCF number.
So the greatest common factor 64730 and 64750 is 10.

Also check out the Least Common Multiple of 64730 and 64750