What is the Greatest Common Factor of 36925 and 36930?

Greatest common factor (GCF) of 36925 and 36930 is 5.

GCF(36925,36930) = 5

We will now calculate the prime factors of 36925 and 36930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36925 and 36930.

How to find the GCF of 36925 and 36930?

We will first find the prime factorization of 36925 and 36930. After we will calculate the factors of 36925 and 36930 and find the biggest common factor number .

Step-1: Prime Factorization of 36925

Prime factors of 36925 are 5, 7, 211. Prime factorization of 36925 in exponential form is:

36925 = 5² × 7¹ × 211¹

Step-2: Prime Factorization of 36930

Prime factors of 36930 are 2, 3, 5, 1231. Prime factorization of 36930 in exponential form is:

36930 = 2¹ × 3¹ × 5¹ × 1231¹

Step-3: Factors of 36925

List of positive integer factors of 36925 that divides 36925 without a remainder.

1, 5, 7, 25, 35, 175, 211, 1055, 1477, 5275, 7385

Step-4: Factors of 36930

List of positive integer factors of 36930 that divides 36925 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1231, 2462, 3693, 6155, 7386, 12310, 18465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36925 and 36930. The biggest common factor number is the GCF number.
So the greatest common factor 36925 and 36930 is 5.

Also check out the Least Common Multiple of 36925 and 36930