What is the Greatest Common Factor of 36921 and 36925?

Greatest common factor (GCF) of 36921 and 36925 is 1.

GCF(36921,36925) = 1

We will now calculate the prime factors of 36921 and 36925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36921 and 36925.

How to find the GCF of 36921 and 36925?

We will first find the prime factorization of 36921 and 36925. After we will calculate the factors of 36921 and 36925 and find the biggest common factor number .

Step-1: Prime Factorization of 36921

Prime factors of 36921 are 3, 31, 397. Prime factorization of 36921 in exponential form is:

36921 = 3¹ × 31¹ × 397¹

Step-2: 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-3: Factors of 36921

List of positive integer factors of 36921 that divides 36921 without a remainder.

1, 3, 31, 93, 397, 1191, 12307

Step-4: Factors of 36925

List of positive integer factors of 36925 that divides 36921 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36921 and 36925. The biggest common factor number is the GCF number.
So the greatest common factor 36921 and 36925 is 1.

Also check out the Least Common Multiple of 36921 and 36925