What is the Greatest Common Factor of 30975 and 30986?

Greatest common factor (GCF) of 30975 and 30986 is 1.

GCF(30975,30986) = 1

We will now calculate the prime factors of 30975 and 30986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30975 and 30986.

How to find the GCF of 30975 and 30986?

We will first find the prime factorization of 30975 and 30986. After we will calculate the factors of 30975 and 30986 and find the biggest common factor number .

Step-1: Prime Factorization of 30975

Prime factors of 30975 are 3, 5, 7, 59. Prime factorization of 30975 in exponential form is:

30975 = 3¹ × 5² × 7¹ × 59¹

Step-2: Prime Factorization of 30986

Prime factors of 30986 are 2, 15493. Prime factorization of 30986 in exponential form is:

30986 = 2¹ × 15493¹

Step-3: Factors of 30975

List of positive integer factors of 30975 that divides 30975 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 59, 75, 105, 175, 177, 295, 413, 525, 885, 1239, 1475, 2065, 4425, 6195, 10325

Step-4: Factors of 30986

List of positive integer factors of 30986 that divides 30975 without a remainder.

1, 2, 15493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30975 and 30986. The biggest common factor number is the GCF number.
So the greatest common factor 30975 and 30986 is 1.

Also check out the Least Common Multiple of 30975 and 30986