What is the Greatest Common Factor of 88914 and 88920?

Greatest common factor (GCF) of 88914 and 88920 is 6.

GCF(88914,88920) = 6

We will now calculate the prime factors of 88914 and 88920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88914 and 88920.

How to find the GCF of 88914 and 88920?

We will first find the prime factorization of 88914 and 88920. After we will calculate the factors of 88914 and 88920 and find the biggest common factor number .

Step-1: Prime Factorization of 88914

Prime factors of 88914 are 2, 3, 7, 29, 73. Prime factorization of 88914 in exponential form is:

88914 = 2¹ × 3¹ × 7¹ × 29¹ × 73¹

Step-2: 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-3: Factors of 88914

List of positive integer factors of 88914 that divides 88914 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 73, 87, 146, 174, 203, 219, 406, 438, 511, 609, 1022, 1218, 1533, 2117, 3066, 4234, 6351, 12702, 14819, 29638, 44457

Step-4: Factors of 88920

List of positive integer factors of 88920 that divides 88914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88914 and 88920. The biggest common factor number is the GCF number.
So the greatest common factor 88914 and 88920 is 6.

Also check out the Least Common Multiple of 88914 and 88920