What is the Greatest Common Factor of 1925 and 1936?

Greatest common factor (GCF) of 1925 and 1936 is 11.

GCF(1925,1936) = 11

We will now calculate the prime factors of 1925 and 1936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1925 and 1936.

How to find the GCF of 1925 and 1936?

We will first find the prime factorization of 1925 and 1936. After we will calculate the factors of 1925 and 1936 and find the biggest common factor number .

Step-1: Prime Factorization of 1925

Prime factors of 1925 are 5, 7, 11. Prime factorization of 1925 in exponential form is:

1925 = 5² × 7¹ × 11¹

Step-2: Prime Factorization of 1936

Prime factors of 1936 are 2, 11. Prime factorization of 1936 in exponential form is:

1936 = 2⁴ × 11²

Step-3: Factors of 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385

Step-4: Factors of 1936

List of positive integer factors of 1936 that divides 1925 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1925 and 1936. The biggest common factor number is the GCF number.
So the greatest common factor 1925 and 1936 is 11.

Also check out the Least Common Multiple of 1925 and 1936