What is the Greatest Common Factor of 77552 and 77568?

Greatest common factor (GCF) of 77552 and 77568 is 16.

GCF(77552,77568) = 16

We will now calculate the prime factors of 77552 and 77568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77552 and 77568.

How to find the GCF of 77552 and 77568?

We will first find the prime factorization of 77552 and 77568. After we will calculate the factors of 77552 and 77568 and find the biggest common factor number .

Step-1: Prime Factorization of 77552

Prime factors of 77552 are 2, 37, 131. Prime factorization of 77552 in exponential form is:

77552 = 2⁴ × 37¹ × 131¹

Step-2: 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-3: Factors of 77552

List of positive integer factors of 77552 that divides 77552 without a remainder.

1, 2, 4, 8, 16, 37, 74, 131, 148, 262, 296, 524, 592, 1048, 2096, 4847, 9694, 19388, 38776

Step-4: Factors of 77568

List of positive integer factors of 77568 that divides 77552 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77552 and 77568. The biggest common factor number is the GCF number.
So the greatest common factor 77552 and 77568 is 16.

Also check out the Least Common Multiple of 77552 and 77568