What is the Greatest Common Factor of 75772 and 75776?

Greatest common factor (GCF) of 75772 and 75776 is 4.

GCF(75772,75776) = 4

We will now calculate the prime factors of 75772 and 75776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75772 and 75776.

How to find the GCF of 75772 and 75776?

We will first find the prime factorization of 75772 and 75776. After we will calculate the factors of 75772 and 75776 and find the biggest common factor number .

Step-1: Prime Factorization of 75772

Prime factors of 75772 are 2, 19, 997. Prime factorization of 75772 in exponential form is:

75772 = 2² × 19¹ × 997¹

Step-2: Prime Factorization of 75776

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

75776 = 2¹¹ × 37¹

Step-3: Factors of 75772

List of positive integer factors of 75772 that divides 75772 without a remainder.

1, 2, 4, 19, 38, 76, 997, 1994, 3988, 18943, 37886

Step-4: Factors of 75776

List of positive integer factors of 75776 that divides 75772 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75772 and 75776. The biggest common factor number is the GCF number.
So the greatest common factor 75772 and 75776 is 4.

Also check out the Least Common Multiple of 75772 and 75776