What is the Greatest Common Factor of 93632 and 93648?

Greatest common factor (GCF) of 93632 and 93648 is 16.

GCF(93632,93648) = 16

We will now calculate the prime factors of 93632 and 93648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93632 and 93648.

How to find the GCF of 93632 and 93648?

We will first find the prime factorization of 93632 and 93648. After we will calculate the factors of 93632 and 93648 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 93648

Prime factors of 93648 are 2, 3, 1951. Prime factorization of 93648 in exponential form is:

93648 = 2⁴ × 3¹ × 1951¹

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 93648

List of positive integer factors of 93648 that divides 93632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1951, 3902, 5853, 7804, 11706, 15608, 23412, 31216, 46824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93632 and 93648. The biggest common factor number is the GCF number.
So the greatest common factor 93632 and 93648 is 16.

Also check out the Least Common Multiple of 93632 and 93648