What is the Greatest Common Factor of 68640 and 68648?

Greatest common factor (GCF) of 68640 and 68648 is 8.

GCF(68640,68648) = 8

We will now calculate the prime factors of 68640 and 68648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68640 and 68648.

How to find the GCF of 68640 and 68648?

We will first find the prime factorization of 68640 and 68648. After we will calculate the factors of 68640 and 68648 and find the biggest common factor number .

Step-1: Prime Factorization of 68640

Prime factors of 68640 are 2, 3, 5, 11, 13. Prime factorization of 68640 in exponential form is:

68640 = 2⁵ × 3¹ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 68648

Prime factors of 68648 are 2, 8581. Prime factorization of 68648 in exponential form is:

68648 = 2³ × 8581¹

Step-3: Factors of 68640

List of positive integer factors of 68640 that divides 68640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 16, 20, 22, 24, 26, 30, 32, 33, 39, 40, 44, 48, 52, 55, 60, 65, 66, 78, 80, 88, 96, 104, 110, 120, 130, 132, 143, 156, 160, 165, 176, 195, 208, 220, 240, 260, 264, 286, 312, 330, 352, 390, 416, 429, 440, 480, 520, 528, 572, 624, 660, 715, 780, 858, 880, 1040, 1056, 1144, 1248, 1320, 1430, 1560, 1716, 1760, 2080, 2145, 2288, 2640, 2860, 3120, 3432, 4290, 4576, 5280, 5720, 6240, 6864, 8580, 11440, 13728, 17160, 22880, 34320

Step-4: Factors of 68648

List of positive integer factors of 68648 that divides 68640 without a remainder.

1, 2, 4, 8, 8581, 17162, 34324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68640 and 68648. The biggest common factor number is the GCF number.
So the greatest common factor 68640 and 68648 is 8.

Also check out the Least Common Multiple of 68640 and 68648