What is the Greatest Common Factor of 35536 and 35546?

Greatest common factor (GCF) of 35536 and 35546 is 2.

GCF(35536,35546) = 2

We will now calculate the prime factors of 35536 and 35546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35536 and 35546.

How to find the GCF of 35536 and 35546?

We will first find the prime factorization of 35536 and 35546. After we will calculate the factors of 35536 and 35546 and find the biggest common factor number .

Step-1: Prime Factorization of 35536

Prime factors of 35536 are 2, 2221. Prime factorization of 35536 in exponential form is:

35536 = 2⁴ × 2221¹

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 35536

List of positive integer factors of 35536 that divides 35536 without a remainder.

1, 2, 4, 8, 16, 2221, 4442, 8884, 17768

Step-4: Factors of 35546

List of positive integer factors of 35546 that divides 35536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35536 and 35546. The biggest common factor number is the GCF number.
So the greatest common factor 35536 and 35546 is 2.

Also check out the Least Common Multiple of 35536 and 35546