What is the Greatest Common Factor of 88910 and 88920?

Greatest common factor (GCF) of 88910 and 88920 is 10.

GCF(88910,88920) = 10

We will now calculate the prime factors of 88910 and 88920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88910 and 88920.

How to find the GCF of 88910 and 88920?

We will first find the prime factorization of 88910 and 88920. After we will calculate the factors of 88910 and 88920 and find the biggest common factor number .

Step-1: Prime Factorization of 88910

Prime factors of 88910 are 2, 5, 17, 523. Prime factorization of 88910 in exponential form is:

88910 = 2¹ × 5¹ × 17¹ × 523¹

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 88910

List of positive integer factors of 88910 that divides 88910 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 523, 1046, 2615, 5230, 8891, 17782, 44455

Step-4: Factors of 88920

List of positive integer factors of 88920 that divides 88910 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 88910 and 88920. The biggest common factor number is the GCF number.
So the greatest common factor 88910 and 88920 is 10.

Also check out the Least Common Multiple of 88910 and 88920