What is the Greatest Common Factor of 64240 and 64253?

Greatest common factor (GCF) of 64240 and 64253 is 1.

GCF(64240,64253) = 1

We will now calculate the prime factors of 64240 and 64253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64240 and 64253.

How to find the GCF of 64240 and 64253?

We will first find the prime factorization of 64240 and 64253. After we will calculate the factors of 64240 and 64253 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 64253

Prime factors of 64253 are 7, 67, 137. Prime factorization of 64253 in exponential form is:

64253 = 7¹ × 67¹ × 137¹

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 64253

List of positive integer factors of 64253 that divides 64240 without a remainder.

1, 7, 67, 137, 469, 959, 9179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64240 and 64253. The biggest common factor number is the GCF number.
So the greatest common factor 64240 and 64253 is 1.

Also check out the Least Common Multiple of 64240 and 64253