What is the Greatest Common Factor of 35421 and 35425?

Greatest common factor (GCF) of 35421 and 35425 is 1.

GCF(35421,35425) = 1

We will now calculate the prime factors of 35421 and 35425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35421 and 35425.

How to find the GCF of 35421 and 35425?

We will first find the prime factorization of 35421 and 35425. After we will calculate the factors of 35421 and 35425 and find the biggest common factor number .

Step-1: Prime Factorization of 35421

Prime factors of 35421 are 3, 11807. Prime factorization of 35421 in exponential form is:

35421 = 3¹ × 11807¹

Step-2: Prime Factorization of 35425

Prime factors of 35425 are 5, 13, 109. Prime factorization of 35425 in exponential form is:

35425 = 5² × 13¹ × 109¹

Step-3: Factors of 35421

List of positive integer factors of 35421 that divides 35421 without a remainder.

1, 3, 11807

Step-4: Factors of 35425

List of positive integer factors of 35425 that divides 35421 without a remainder.

1, 5, 13, 25, 65, 109, 325, 545, 1417, 2725, 7085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35421 and 35425. The biggest common factor number is the GCF number.
So the greatest common factor 35421 and 35425 is 1.

Also check out the Least Common Multiple of 35421 and 35425