What is the Greatest Common Factor of 88920 and 88933?

Greatest common factor (GCF) of 88920 and 88933 is 13.

GCF(88920,88933) = 13

We will now calculate the prime factors of 88920 and 88933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88920 and 88933.

How to find the GCF of 88920 and 88933?

We will first find the prime factorization of 88920 and 88933. After we will calculate the factors of 88920 and 88933 and find the biggest common factor number .

Step-1: Prime Factorization of 88920

Prime factors of 88920 are 2, 3, 5, 13, 19. Prime factorization of 88920 in exponential form is:

88920 = 2³ × 3² × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 88933

Prime factors of 88933 are 13, 6841. Prime factorization of 88933 in exponential form is:

88933 = 13¹ × 6841¹

Step-3: Factors of 88920

List of positive integer factors of 88920 that divides 88920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 19, 20, 24, 26, 30, 36, 38, 39, 40, 45, 52, 57, 60, 65, 72, 76, 78, 90, 95, 104, 114, 117, 120, 130, 152, 156, 171, 180, 190, 195, 228, 234, 247, 260, 285, 312, 342, 360, 380, 390, 456, 468, 494, 520, 570, 585, 684, 741, 760, 780, 855, 936, 988, 1140, 1170, 1235, 1368, 1482, 1560, 1710, 1976, 2223, 2280, 2340, 2470, 2964, 3420, 3705, 4446, 4680, 4940, 5928, 6840, 7410, 8892, 9880, 11115, 14820, 17784, 22230, 29640, 44460

Step-4: Factors of 88933

List of positive integer factors of 88933 that divides 88920 without a remainder.

1, 13, 6841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88920 and 88933. The biggest common factor number is the GCF number.
So the greatest common factor 88920 and 88933 is 13.

Also check out the Least Common Multiple of 88920 and 88933