What is the Greatest Common Factor of 35625 and 35641?

Greatest common factor (GCF) of 35625 and 35641 is 1.

GCF(35625,35641) = 1

We will now calculate the prime factors of 35625 and 35641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35625 and 35641.

How to find the GCF of 35625 and 35641?

We will first find the prime factorization of 35625 and 35641. After we will calculate the factors of 35625 and 35641 and find the biggest common factor number .

Step-1: Prime Factorization of 35625

Prime factors of 35625 are 3, 5, 19. Prime factorization of 35625 in exponential form is:

35625 = 3¹ × 5⁴ × 19¹

Step-2: Prime Factorization of 35641

Prime factors of 35641 are 29, 1229. Prime factorization of 35641 in exponential form is:

35641 = 29¹ × 1229¹

Step-3: Factors of 35625

List of positive integer factors of 35625 that divides 35625 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 625, 1425, 1875, 2375, 7125, 11875

Step-4: Factors of 35641

List of positive integer factors of 35641 that divides 35625 without a remainder.

1, 29, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35625 and 35641. The biggest common factor number is the GCF number.
So the greatest common factor 35625 and 35641 is 1.

Also check out the Least Common Multiple of 35625 and 35641