What is the Greatest Common Factor of 64225 and 64240?

Greatest common factor (GCF) of 64225 and 64240 is 5.

GCF(64225,64240) = 5

We will now calculate the prime factors of 64225 and 64240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64225 and 64240.

How to find the GCF of 64225 and 64240?

We will first find the prime factorization of 64225 and 64240. After we will calculate the factors of 64225 and 64240 and find the biggest common factor number .

Step-1: Prime Factorization of 64225

Prime factors of 64225 are 5, 7, 367. Prime factorization of 64225 in exponential form is:

64225 = 5² × 7¹ × 367¹

Step-2: Prime Factorization of 64240

Prime factors of 64240 are 2, 5, 11, 73. Prime factorization of 64240 in exponential form is:

64240 = 2⁴ × 5¹ × 11¹ × 73¹

Step-3: Factors of 64225

List of positive integer factors of 64225 that divides 64225 without a remainder.

1, 5, 7, 25, 35, 175, 367, 1835, 2569, 9175, 12845

Step-4: Factors of 64240

List of positive integer factors of 64240 that divides 64225 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 73, 80, 88, 110, 146, 176, 220, 292, 365, 440, 584, 730, 803, 880, 1168, 1460, 1606, 2920, 3212, 4015, 5840, 6424, 8030, 12848, 16060, 32120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64225 and 64240. The biggest common factor number is the GCF number.
So the greatest common factor 64225 and 64240 is 5.

Also check out the Least Common Multiple of 64225 and 64240