What is the Greatest Common Factor of 35624 and 35631?

Greatest common factor (GCF) of 35624 and 35631 is 1.

GCF(35624,35631) = 1

We will now calculate the prime factors of 35624 and 35631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35624 and 35631.

How to find the GCF of 35624 and 35631?

We will first find the prime factorization of 35624 and 35631. After we will calculate the factors of 35624 and 35631 and find the biggest common factor number .

Step-1: Prime Factorization of 35624

Prime factors of 35624 are 2, 61, 73. Prime factorization of 35624 in exponential form is:

35624 = 2³ × 61¹ × 73¹

Step-2: Prime Factorization of 35631

Prime factors of 35631 are 3, 37, 107. Prime factorization of 35631 in exponential form is:

35631 = 3² × 37¹ × 107¹

Step-3: Factors of 35624

List of positive integer factors of 35624 that divides 35624 without a remainder.

1, 2, 4, 8, 61, 73, 122, 146, 244, 292, 488, 584, 4453, 8906, 17812

Step-4: Factors of 35631

List of positive integer factors of 35631 that divides 35624 without a remainder.

1, 3, 9, 37, 107, 111, 321, 333, 963, 3959, 11877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35624 and 35631. The biggest common factor number is the GCF number.
So the greatest common factor 35624 and 35631 is 1.

Also check out the Least Common Multiple of 35624 and 35631