What is the Greatest Common Factor of 64240 and 64258?

Greatest common factor (GCF) of 64240 and 64258 is 2.

GCF(64240,64258) = 2

We will now calculate the prime factors of 64240 and 64258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64240 and 64258.

How to find the GCF of 64240 and 64258?

We will first find the prime factorization of 64240 and 64258. After we will calculate the factors of 64240 and 64258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64258

Prime factors of 64258 are 2, 19, 89. Prime factorization of 64258 in exponential form is:

64258 = 2¹ × 19² × 89¹

Step-3: Factors of 64240

List of positive integer factors of 64240 that divides 64240 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

Step-4: Factors of 64258

List of positive integer factors of 64258 that divides 64240 without a remainder.

1, 2, 19, 38, 89, 178, 361, 722, 1691, 3382, 32129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64240 and 64258. The biggest common factor number is the GCF number.
So the greatest common factor 64240 and 64258 is 2.

Also check out the Least Common Multiple of 64240 and 64258