What is the Greatest Common Factor of 35604 and 35622?

Greatest common factor (GCF) of 35604 and 35622 is 18.

GCF(35604,35622) = 18

We will now calculate the prime factors of 35604 and 35622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35604 and 35622.

How to find the GCF of 35604 and 35622?

We will first find the prime factorization of 35604 and 35622. After we will calculate the factors of 35604 and 35622 and find the biggest common factor number .

Step-1: Prime Factorization of 35604

Prime factors of 35604 are 2, 3, 23, 43. Prime factorization of 35604 in exponential form is:

35604 = 2² × 3² × 23¹ × 43¹

Step-2: 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-3: Factors of 35604

List of positive integer factors of 35604 that divides 35604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 43, 46, 69, 86, 92, 129, 138, 172, 207, 258, 276, 387, 414, 516, 774, 828, 989, 1548, 1978, 2967, 3956, 5934, 8901, 11868, 17802

Step-4: Factors of 35622

List of positive integer factors of 35622 that divides 35604 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35604 and 35622. The biggest common factor number is the GCF number.
So the greatest common factor 35604 and 35622 is 18.

Also check out the Least Common Multiple of 35604 and 35622