What is the Greatest Common Factor of 67564 and 67568?

Greatest common factor (GCF) of 67564 and 67568 is 4.

GCF(67564,67568) = 4

We will now calculate the prime factors of 67564 and 67568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67564 and 67568.

How to find the GCF of 67564 and 67568?

We will first find the prime factorization of 67564 and 67568. After we will calculate the factors of 67564 and 67568 and find the biggest common factor number .

Step-1: Prime Factorization of 67564

Prime factors of 67564 are 2, 7, 19, 127. Prime factorization of 67564 in exponential form is:

67564 = 2² × 7¹ × 19¹ × 127¹

Step-2: Prime Factorization of 67568

Prime factors of 67568 are 2, 41, 103. Prime factorization of 67568 in exponential form is:

67568 = 2⁴ × 41¹ × 103¹

Step-3: Factors of 67564

List of positive integer factors of 67564 that divides 67564 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 127, 133, 254, 266, 508, 532, 889, 1778, 2413, 3556, 4826, 9652, 16891, 33782

Step-4: Factors of 67568

List of positive integer factors of 67568 that divides 67564 without a remainder.

1, 2, 4, 8, 16, 41, 82, 103, 164, 206, 328, 412, 656, 824, 1648, 4223, 8446, 16892, 33784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67564 and 67568. The biggest common factor number is the GCF number.
So the greatest common factor 67564 and 67568 is 4.

Also check out the Least Common Multiple of 67564 and 67568