What is the Greatest Common Factor of 77568 and 77584?

Greatest common factor (GCF) of 77568 and 77584 is 16.

GCF(77568,77584) = 16

We will now calculate the prime factors of 77568 and 77584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77568 and 77584.

How to find the GCF of 77568 and 77584?

We will first find the prime factorization of 77568 and 77584. After we will calculate the factors of 77568 and 77584 and find the biggest common factor number .

Step-1: Prime Factorization of 77568

Prime factors of 77568 are 2, 3, 101. Prime factorization of 77568 in exponential form is:

77568 = 2⁸ × 3¹ × 101¹

Step-2: Prime Factorization of 77584

Prime factors of 77584 are 2, 13, 373. Prime factorization of 77584 in exponential form is:

77584 = 2⁴ × 13¹ × 373¹

Step-3: Factors of 77568

List of positive integer factors of 77568 that divides 77568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 101, 128, 192, 202, 256, 303, 384, 404, 606, 768, 808, 1212, 1616, 2424, 3232, 4848, 6464, 9696, 12928, 19392, 25856, 38784

Step-4: Factors of 77584

List of positive integer factors of 77584 that divides 77568 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 373, 746, 1492, 2984, 4849, 5968, 9698, 19396, 38792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77568 and 77584. The biggest common factor number is the GCF number.
So the greatest common factor 77568 and 77584 is 16.

Also check out the Least Common Multiple of 77568 and 77584