What is the Greatest Common Factor of 93625 and 93632?

Greatest common factor (GCF) of 93625 and 93632 is 7.

GCF(93625,93632) = 7

We will now calculate the prime factors of 93625 and 93632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93625 and 93632.

How to find the GCF of 93625 and 93632?

We will first find the prime factorization of 93625 and 93632. After we will calculate the factors of 93625 and 93632 and find the biggest common factor number .

Step-1: Prime Factorization of 93625

Prime factors of 93625 are 5, 7, 107. Prime factorization of 93625 in exponential form is:

93625 = 5³ × 7¹ × 107¹

Step-2: 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-3: Factors of 93625

List of positive integer factors of 93625 that divides 93625 without a remainder.

1, 5, 7, 25, 35, 107, 125, 175, 535, 749, 875, 2675, 3745, 13375, 18725

Step-4: Factors of 93632

List of positive integer factors of 93632 that divides 93625 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93625 and 93632. The biggest common factor number is the GCF number.
So the greatest common factor 93625 and 93632 is 7.

Also check out the Least Common Multiple of 93625 and 93632