What is the Greatest Common Factor of 4425 and 4435?

Greatest common factor (GCF) of 4425 and 4435 is 5.

GCF(4425,4435) = 5

We will now calculate the prime factors of 4425 and 4435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4425 and 4435.

How to find the GCF of 4425 and 4435?

We will first find the prime factorization of 4425 and 4435. After we will calculate the factors of 4425 and 4435 and find the biggest common factor number .

Step-1: Prime Factorization of 4425

Prime factors of 4425 are 3, 5, 59. Prime factorization of 4425 in exponential form is:

4425 = 3¹ × 5² × 59¹

Step-2: Prime Factorization of 4435

Prime factors of 4435 are 5, 887. Prime factorization of 4435 in exponential form is:

4435 = 5¹ × 887¹

Step-3: Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475

Step-4: Factors of 4435

List of positive integer factors of 4435 that divides 4425 without a remainder.

1, 5, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4425 and 4435. The biggest common factor number is the GCF number.
So the greatest common factor 4425 and 4435 is 5.

Also check out the Least Common Multiple of 4425 and 4435