What is the Greatest Common Factor of 64900 and 64905?

Greatest common factor (GCF) of 64900 and 64905 is 5.

GCF(64900,64905) = 5

We will now calculate the prime factors of 64900 and 64905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64900 and 64905.

How to find the GCF of 64900 and 64905?

We will first find the prime factorization of 64900 and 64905. After we will calculate the factors of 64900 and 64905 and find the biggest common factor number .

Step-1: Prime Factorization of 64900

Prime factors of 64900 are 2, 5, 11, 59. Prime factorization of 64900 in exponential form is:

64900 = 2² × 5² × 11¹ × 59¹

Step-2: Prime Factorization of 64905

Prime factors of 64905 are 3, 5, 4327. Prime factorization of 64905 in exponential form is:

64905 = 3¹ × 5¹ × 4327¹

Step-3: Factors of 64900

List of positive integer factors of 64900 that divides 64900 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 59, 100, 110, 118, 220, 236, 275, 295, 550, 590, 649, 1100, 1180, 1298, 1475, 2596, 2950, 3245, 5900, 6490, 12980, 16225, 32450

Step-4: Factors of 64905

List of positive integer factors of 64905 that divides 64900 without a remainder.

1, 3, 5, 15, 4327, 12981, 21635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64900 and 64905. The biggest common factor number is the GCF number.
So the greatest common factor 64900 and 64905 is 5.

Also check out the Least Common Multiple of 64900 and 64905