What is the Greatest Common Factor of 75776 and 75795?

Greatest common factor (GCF) of 75776 and 75795 is 1.

GCF(75776,75795) = 1

We will now calculate the prime factors of 75776 and 75795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75776 and 75795.

How to find the GCF of 75776 and 75795?

We will first find the prime factorization of 75776 and 75795. After we will calculate the factors of 75776 and 75795 and find the biggest common factor number .

Step-1: Prime Factorization of 75776

Prime factors of 75776 are 2, 37. Prime factorization of 75776 in exponential form is:

75776 = 2¹¹ × 37¹

Step-2: Prime Factorization of 75795

Prime factors of 75795 are 3, 5, 31, 163. Prime factorization of 75795 in exponential form is:

75795 = 3¹ × 5¹ × 31¹ × 163¹

Step-3: Factors of 75776

List of positive integer factors of 75776 that divides 75776 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 512, 592, 1024, 1184, 2048, 2368, 4736, 9472, 18944, 37888

Step-4: Factors of 75795

List of positive integer factors of 75795 that divides 75776 without a remainder.

1, 3, 5, 15, 31, 93, 155, 163, 465, 489, 815, 2445, 5053, 15159, 25265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75776 and 75795. The biggest common factor number is the GCF number.
So the greatest common factor 75776 and 75795 is 1.

Also check out the Least Common Multiple of 75776 and 75795