What is the Greatest Common Factor of 67564 and 67576?

Greatest common factor (GCF) of 67564 and 67576 is 4.

GCF(67564,67576) = 4

We will now calculate the prime factors of 67564 and 67576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67564 and 67576.

How to find the GCF of 67564 and 67576?

We will first find the prime factorization of 67564 and 67576. After we will calculate the factors of 67564 and 67576 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 67576

Prime factors of 67576 are 2, 8447. Prime factorization of 67576 in exponential form is:

67576 = 2³ × 8447¹

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 67576

List of positive integer factors of 67576 that divides 67564 without a remainder.

1, 2, 4, 8, 8447, 16894, 33788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67564 and 67576. The biggest common factor number is the GCF number.
So the greatest common factor 67564 and 67576 is 4.

Also check out the Least Common Multiple of 67564 and 67576