What is the Greatest Common Factor of 64240 and 64250?

Greatest common factor (GCF) of 64240 and 64250 is 10.

GCF(64240,64250) = 10

We will now calculate the prime factors of 64240 and 64250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64240 and 64250.

How to find the GCF of 64240 and 64250?

We will first find the prime factorization of 64240 and 64250. After we will calculate the factors of 64240 and 64250 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 64250

Prime factors of 64250 are 2, 5, 257. Prime factorization of 64250 in exponential form is:

64250 = 2¹ × 5³ × 257¹

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 64250

List of positive integer factors of 64250 that divides 64240 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 257, 514, 1285, 2570, 6425, 12850, 32125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64240 and 64250. The biggest common factor number is the GCF number.
So the greatest common factor 64240 and 64250 is 10.

Also check out the Least Common Multiple of 64240 and 64250