What is the Greatest Common Factor of 35225 and 35240?

Greatest common factor (GCF) of 35225 and 35240 is 5.

GCF(35225,35240) = 5

We will now calculate the prime factors of 35225 and 35240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35225 and 35240.

How to find the GCF of 35225 and 35240?

We will first find the prime factorization of 35225 and 35240. After we will calculate the factors of 35225 and 35240 and find the biggest common factor number .

Step-1: Prime Factorization of 35225

Prime factors of 35225 are 5, 1409. Prime factorization of 35225 in exponential form is:

35225 = 5² × 1409¹

Step-2: Prime Factorization of 35240

Prime factors of 35240 are 2, 5, 881. Prime factorization of 35240 in exponential form is:

35240 = 2³ × 5¹ × 881¹

Step-3: Factors of 35225

List of positive integer factors of 35225 that divides 35225 without a remainder.

1, 5, 25, 1409, 7045

Step-4: Factors of 35240

List of positive integer factors of 35240 that divides 35225 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 881, 1762, 3524, 4405, 7048, 8810, 17620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35225 and 35240. The biggest common factor number is the GCF number.
So the greatest common factor 35225 and 35240 is 5.

Also check out the Least Common Multiple of 35225 and 35240