What is the Greatest Common Factor of 35616 and 35629?

Greatest common factor (GCF) of 35616 and 35629 is 1.

GCF(35616,35629) = 1

We will now calculate the prime factors of 35616 and 35629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35616 and 35629.

How to find the GCF of 35616 and 35629?

We will first find the prime factorization of 35616 and 35629. After we will calculate the factors of 35616 and 35629 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 35629

Prime factors of 35629 are 11, 41, 79. Prime factorization of 35629 in exponential form is:

35629 = 11¹ × 41¹ × 79¹

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 35629

List of positive integer factors of 35629 that divides 35616 without a remainder.

1, 11, 41, 79, 451, 869, 3239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35616 and 35629. The biggest common factor number is the GCF number.
So the greatest common factor 35616 and 35629 is 1.

Also check out the Least Common Multiple of 35616 and 35629