What is the Greatest Common Factor of 30870 and 30877?

Greatest common factor (GCF) of 30870 and 30877 is 7.

GCF(30870,30877) = 7

We will now calculate the prime factors of 30870 and 30877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30870 and 30877.

How to find the GCF of 30870 and 30877?

We will first find the prime factorization of 30870 and 30877. After we will calculate the factors of 30870 and 30877 and find the biggest common factor number .

Step-1: Prime Factorization of 30870

Prime factors of 30870 are 2, 3, 5, 7. Prime factorization of 30870 in exponential form is:

30870 = 2¹ × 3² × 5¹ × 7³

Step-2: Prime Factorization of 30877

Prime factors of 30877 are 7, 11, 401. Prime factorization of 30877 in exponential form is:

30877 = 7¹ × 11¹ × 401¹

Step-3: Factors of 30870

List of positive integer factors of 30870 that divides 30870 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 343, 441, 490, 630, 686, 735, 882, 1029, 1470, 1715, 2058, 2205, 3087, 3430, 4410, 5145, 6174, 10290, 15435

Step-4: Factors of 30877

List of positive integer factors of 30877 that divides 30870 without a remainder.

1, 7, 11, 77, 401, 2807, 4411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30870 and 30877. The biggest common factor number is the GCF number.
So the greatest common factor 30870 and 30877 is 7.

Also check out the Least Common Multiple of 30870 and 30877