What is the Greatest Common Factor of 43925 and 43932?

Greatest common factor (GCF) of 43925 and 43932 is 7.

GCF(43925,43932) = 7

We will now calculate the prime factors of 43925 and 43932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43925 and 43932.

How to find the GCF of 43925 and 43932?

We will first find the prime factorization of 43925 and 43932. After we will calculate the factors of 43925 and 43932 and find the biggest common factor number .

Step-1: Prime Factorization of 43925

Prime factors of 43925 are 5, 7, 251. Prime factorization of 43925 in exponential form is:

43925 = 5² × 7¹ × 251¹

Step-2: Prime Factorization of 43932

Prime factors of 43932 are 2, 3, 7, 523. Prime factorization of 43932 in exponential form is:

43932 = 2² × 3¹ × 7¹ × 523¹

Step-3: Factors of 43925

List of positive integer factors of 43925 that divides 43925 without a remainder.

1, 5, 7, 25, 35, 175, 251, 1255, 1757, 6275, 8785

Step-4: Factors of 43932

List of positive integer factors of 43932 that divides 43925 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 523, 1046, 1569, 2092, 3138, 3661, 6276, 7322, 10983, 14644, 21966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43925 and 43932. The biggest common factor number is the GCF number.
So the greatest common factor 43925 and 43932 is 7.

Also check out the Least Common Multiple of 43925 and 43932