What is the Greatest Common Factor of 35616 and 35622?

Greatest common factor (GCF) of 35616 and 35622 is 6.

GCF(35616,35622) = 6

We will now calculate the prime factors of 35616 and 35622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35616 and 35622.

How to find the GCF of 35616 and 35622?

We will first find the prime factorization of 35616 and 35622. After we will calculate the factors of 35616 and 35622 and find the biggest common factor number .

Step-1: Prime Factorization of 35616

Prime factors of 35616 are 2, 3, 7, 53. Prime factorization of 35616 in exponential form is:

35616 = 2⁵ × 3¹ × 7¹ × 53¹

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 35616

List of positive integer factors of 35616 that divides 35616 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 53, 56, 84, 96, 106, 112, 159, 168, 212, 224, 318, 336, 371, 424, 636, 672, 742, 848, 1113, 1272, 1484, 1696, 2226, 2544, 2968, 4452, 5088, 5936, 8904, 11872, 17808

Step-4: Factors of 35622

List of positive integer factors of 35622 that divides 35616 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 35616 and 35622. The biggest common factor number is the GCF number.
So the greatest common factor 35616 and 35622 is 6.

Also check out the Least Common Multiple of 35616 and 35622