What is the Greatest Common Factor of 10925 and 10932?

Greatest common factor (GCF) of 10925 and 10932 is 1.

GCF(10925,10932) = 1

We will now calculate the prime factors of 10925 and 10932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10925 and 10932.

How to find the GCF of 10925 and 10932?

We will first find the prime factorization of 10925 and 10932. After we will calculate the factors of 10925 and 10932 and find the biggest common factor number .

Step-1: Prime Factorization of 10925

Prime factors of 10925 are 5, 19, 23. Prime factorization of 10925 in exponential form is:

10925 = 5² × 19¹ × 23¹

Step-2: Prime Factorization of 10932

Prime factors of 10932 are 2, 3, 911. Prime factorization of 10932 in exponential form is:

10932 = 2² × 3¹ × 911¹

Step-3: Factors of 10925

List of positive integer factors of 10925 that divides 10925 without a remainder.

1, 5, 19, 23, 25, 95, 115, 437, 475, 575, 2185

Step-4: Factors of 10932

List of positive integer factors of 10932 that divides 10925 without a remainder.

1, 2, 3, 4, 6, 12, 911, 1822, 2733, 3644, 5466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10925 and 10932. The biggest common factor number is the GCF number.
So the greatest common factor 10925 and 10932 is 1.

Also check out the Least Common Multiple of 10925 and 10932