What is the Greatest Common Factor of 34525 and 34541?

Greatest common factor (GCF) of 34525 and 34541 is 1.

GCF(34525,34541) = 1

We will now calculate the prime factors of 34525 and 34541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34525 and 34541.

How to find the GCF of 34525 and 34541?

We will first find the prime factorization of 34525 and 34541. After we will calculate the factors of 34525 and 34541 and find the biggest common factor number .

Step-1: Prime Factorization of 34525

Prime factors of 34525 are 5, 1381. Prime factorization of 34525 in exponential form is:

34525 = 5² × 1381¹

Step-2: Prime Factorization of 34541

Prime factors of 34541 are 13, 2657. Prime factorization of 34541 in exponential form is:

34541 = 13¹ × 2657¹

Step-3: Factors of 34525

List of positive integer factors of 34525 that divides 34525 without a remainder.

1, 5, 25, 1381, 6905

Step-4: Factors of 34541

List of positive integer factors of 34541 that divides 34525 without a remainder.

1, 13, 2657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34525 and 34541. The biggest common factor number is the GCF number.
So the greatest common factor 34525 and 34541 is 1.

Also check out the Least Common Multiple of 34525 and 34541