What is the Greatest Common Factor of 35425 and 35435?

Greatest common factor (GCF) of 35425 and 35435 is 5.

GCF(35425,35435) = 5

We will now calculate the prime factors of 35425 and 35435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35425 and 35435.

How to find the GCF of 35425 and 35435?

We will first find the prime factorization of 35425 and 35435. After we will calculate the factors of 35425 and 35435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35435

Prime factors of 35435 are 5, 19, 373. Prime factorization of 35435 in exponential form is:

35435 = 5¹ × 19¹ × 373¹

Step-3: Factors of 35425

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

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

Step-4: Factors of 35435

List of positive integer factors of 35435 that divides 35425 without a remainder.

1, 5, 19, 95, 373, 1865, 7087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35425 and 35435. The biggest common factor number is the GCF number.
So the greatest common factor 35425 and 35435 is 5.

Also check out the Least Common Multiple of 35425 and 35435