What is the Greatest Common Factor of 35621 and 35637?

Greatest common factor (GCF) of 35621 and 35637 is 1.

GCF(35621,35637) = 1

We will now calculate the prime factors of 35621 and 35637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35621 and 35637.

How to find the GCF of 35621 and 35637?

We will first find the prime factorization of 35621 and 35637. After we will calculate the factors of 35621 and 35637 and find the biggest common factor number .

Step-1: Prime Factorization of 35621

Prime factors of 35621 are 179, 199. Prime factorization of 35621 in exponential form is:

35621 = 179¹ × 199¹

Step-2: Prime Factorization of 35637

Prime factors of 35637 are 3, 7, 1697. Prime factorization of 35637 in exponential form is:

35637 = 3¹ × 7¹ × 1697¹

Step-3: Factors of 35621

List of positive integer factors of 35621 that divides 35621 without a remainder.

1, 179, 199

Step-4: Factors of 35637

List of positive integer factors of 35637 that divides 35621 without a remainder.

1, 3, 7, 21, 1697, 5091, 11879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35621 and 35637. The biggest common factor number is the GCF number.
So the greatest common factor 35621 and 35637 is 1.

Also check out the Least Common Multiple of 35621 and 35637