What is the Greatest Common Factor of 93632 and 93643?

Greatest common factor (GCF) of 93632 and 93643 is 11.

GCF(93632,93643) = 11

We will now calculate the prime factors of 93632 and 93643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93632 and 93643.

How to find the GCF of 93632 and 93643?

We will first find the prime factorization of 93632 and 93643. After we will calculate the factors of 93632 and 93643 and find the biggest common factor number .

Step-1: Prime Factorization of 93632

Prime factors of 93632 are 2, 7, 11, 19. Prime factorization of 93632 in exponential form is:

93632 = 2⁶ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 93643

Prime factors of 93643 are 11, 8513. Prime factorization of 93643 in exponential form is:

93643 = 11¹ × 8513¹

Step-3: Factors of 93632

List of positive integer factors of 93632 that divides 93632 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 32, 38, 44, 56, 64, 76, 77, 88, 112, 133, 152, 154, 176, 209, 224, 266, 304, 308, 352, 418, 448, 532, 608, 616, 704, 836, 1064, 1216, 1232, 1463, 1672, 2128, 2464, 2926, 3344, 4256, 4928, 5852, 6688, 8512, 11704, 13376, 23408, 46816

Step-4: Factors of 93643

List of positive integer factors of 93643 that divides 93632 without a remainder.

1, 11, 8513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93632 and 93643. The biggest common factor number is the GCF number.
So the greatest common factor 93632 and 93643 is 11.

Also check out the Least Common Multiple of 93632 and 93643