What is the Greatest Common Factor of 35622 and 35636?

Greatest common factor (GCF) of 35622 and 35636 is 2.

GCF(35622,35636) = 2

We will now calculate the prime factors of 35622 and 35636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35622 and 35636.

How to find the GCF of 35622 and 35636?

We will first find the prime factorization of 35622 and 35636. After we will calculate the factors of 35622 and 35636 and find the biggest common factor number .

Step-1: Prime Factorization of 35622

Prime factors of 35622 are 2, 3, 1979. Prime factorization of 35622 in exponential form is:

35622 = 2¹ × 3² × 1979¹

Step-2: Prime Factorization of 35636

Prime factors of 35636 are 2, 59, 151. Prime factorization of 35636 in exponential form is:

35636 = 2² × 59¹ × 151¹

Step-3: Factors of 35622

List of positive integer factors of 35622 that divides 35622 without a remainder.

1, 2, 3, 6, 9, 18, 1979, 3958, 5937, 11874, 17811

Step-4: Factors of 35636

List of positive integer factors of 35636 that divides 35622 without a remainder.

1, 2, 4, 59, 118, 151, 236, 302, 604, 8909, 17818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35622 and 35636. The biggest common factor number is the GCF number.
So the greatest common factor 35622 and 35636 is 2.

Also check out the Least Common Multiple of 35622 and 35636