What is the Greatest Common Factor of 64750 and 64760?

Greatest common factor (GCF) of 64750 and 64760 is 10.

GCF(64750,64760) = 10

We will now calculate the prime factors of 64750 and 64760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64750 and 64760.

How to find the GCF of 64750 and 64760?

We will first find the prime factorization of 64750 and 64760. After we will calculate the factors of 64750 and 64760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64760

Prime factors of 64760 are 2, 5, 1619. Prime factorization of 64760 in exponential form is:

64760 = 2³ × 5¹ × 1619¹

Step-3: Factors of 64750

List of positive integer factors of 64750 that divides 64750 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

Step-4: Factors of 64760

List of positive integer factors of 64760 that divides 64750 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1619, 3238, 6476, 8095, 12952, 16190, 32380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64750 and 64760. The biggest common factor number is the GCF number.
So the greatest common factor 64750 and 64760 is 10.

Also check out the Least Common Multiple of 64750 and 64760