What is the Greatest Common Factor of 35539 and 35546?

Greatest common factor (GCF) of 35539 and 35546 is 7.

GCF(35539,35546) = 7

We will now calculate the prime factors of 35539 and 35546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35539 and 35546.

How to find the GCF of 35539 and 35546?

We will first find the prime factorization of 35539 and 35546. After we will calculate the factors of 35539 and 35546 and find the biggest common factor number .

Step-1: Prime Factorization of 35539

Prime factors of 35539 are 7, 5077. Prime factorization of 35539 in exponential form is:

35539 = 7¹ × 5077¹

Step-2: Prime Factorization of 35546

Prime factors of 35546 are 2, 7, 2539. Prime factorization of 35546 in exponential form is:

35546 = 2¹ × 7¹ × 2539¹

Step-3: Factors of 35539

List of positive integer factors of 35539 that divides 35539 without a remainder.

1, 7, 5077

Step-4: Factors of 35546

List of positive integer factors of 35546 that divides 35539 without a remainder.

1, 2, 7, 14, 2539, 5078, 17773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35539 and 35546. The biggest common factor number is the GCF number.
So the greatest common factor 35539 and 35546 is 7.

Also check out the Least Common Multiple of 35539 and 35546