What is the Greatest Common Factor of 97632 and 97650?

Greatest common factor (GCF) of 97632 and 97650 is 18.

GCF(97632,97650) = 18

We will now calculate the prime factors of 97632 and 97650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97632 and 97650.

How to find the GCF of 97632 and 97650?

We will first find the prime factorization of 97632 and 97650. After we will calculate the factors of 97632 and 97650 and find the biggest common factor number .

Step-1: Prime Factorization of 97632

Prime factors of 97632 are 2, 3, 113. Prime factorization of 97632 in exponential form is:

97632 = 2⁵ × 3³ × 113¹

Step-2: Prime Factorization of 97650

Prime factors of 97650 are 2, 3, 5, 7, 31. Prime factorization of 97650 in exponential form is:

97650 = 2¹ × 3² × 5² × 7¹ × 31¹

Step-3: Factors of 97632

List of positive integer factors of 97632 that divides 97632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 113, 144, 216, 226, 288, 339, 432, 452, 678, 864, 904, 1017, 1356, 1808, 2034, 2712, 3051, 3616, 4068, 5424, 6102, 8136, 10848, 12204, 16272, 24408, 32544, 48816

Step-4: Factors of 97650

List of positive integer factors of 97650 that divides 97632 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 31, 35, 42, 45, 50, 62, 63, 70, 75, 90, 93, 105, 126, 150, 155, 175, 186, 210, 217, 225, 279, 310, 315, 350, 434, 450, 465, 525, 558, 630, 651, 775, 930, 1050, 1085, 1302, 1395, 1550, 1575, 1953, 2170, 2325, 2790, 3150, 3255, 3906, 4650, 5425, 6510, 6975, 9765, 10850, 13950, 16275, 19530, 32550, 48825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97632 and 97650. The biggest common factor number is the GCF number.
So the greatest common factor 97632 and 97650 is 18.

Also check out the Least Common Multiple of 97632 and 97650