What is the Greatest Common Factor of 30760 and 30772?

Greatest common factor (GCF) of 30760 and 30772 is 4.

GCF(30760,30772) = 4

We will now calculate the prime factors of 30760 and 30772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30760 and 30772.

How to find the GCF of 30760 and 30772?

We will first find the prime factorization of 30760 and 30772. After we will calculate the factors of 30760 and 30772 and find the biggest common factor number .

Step-1: Prime Factorization of 30760

Prime factors of 30760 are 2, 5, 769. Prime factorization of 30760 in exponential form is:

30760 = 2³ × 5¹ × 769¹

Step-2: Prime Factorization of 30772

Prime factors of 30772 are 2, 7, 157. Prime factorization of 30772 in exponential form is:

30772 = 2² × 7² × 157¹

Step-3: Factors of 30760

List of positive integer factors of 30760 that divides 30760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 769, 1538, 3076, 3845, 6152, 7690, 15380

Step-4: Factors of 30772

List of positive integer factors of 30772 that divides 30760 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 157, 196, 314, 628, 1099, 2198, 4396, 7693, 15386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30760 and 30772. The biggest common factor number is the GCF number.
So the greatest common factor 30760 and 30772 is 4.

Also check out the Least Common Multiple of 30760 and 30772