What is the Greatest Common Factor of 64605 and 64610?

Greatest common factor (GCF) of 64605 and 64610 is 5.

GCF(64605,64610) = 5

We will now calculate the prime factors of 64605 and 64610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64605 and 64610.

How to find the GCF of 64605 and 64610?

We will first find the prime factorization of 64605 and 64610. After we will calculate the factors of 64605 and 64610 and find the biggest common factor number .

Step-1: Prime Factorization of 64605

Prime factors of 64605 are 3, 5, 59, 73. Prime factorization of 64605 in exponential form is:

64605 = 3¹ × 5¹ × 59¹ × 73¹

Step-2: Prime Factorization of 64610

Prime factors of 64610 are 2, 5, 7, 13, 71. Prime factorization of 64610 in exponential form is:

64610 = 2¹ × 5¹ × 7¹ × 13¹ × 71¹

Step-3: Factors of 64605

List of positive integer factors of 64605 that divides 64605 without a remainder.

1, 3, 5, 15, 59, 73, 177, 219, 295, 365, 885, 1095, 4307, 12921, 21535

Step-4: Factors of 64610

List of positive integer factors of 64610 that divides 64605 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 71, 91, 130, 142, 182, 355, 455, 497, 710, 910, 923, 994, 1846, 2485, 4615, 4970, 6461, 9230, 12922, 32305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64605 and 64610. The biggest common factor number is the GCF number.
So the greatest common factor 64605 and 64610 is 5.

Also check out the Least Common Multiple of 64605 and 64610