What is the Greatest Common Factor of 88920 and 88939?

Greatest common factor (GCF) of 88920 and 88939 is 19.

GCF(88920,88939) = 19

We will now calculate the prime factors of 88920 and 88939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88920 and 88939.

How to find the GCF of 88920 and 88939?

We will first find the prime factorization of 88920 and 88939. After we will calculate the factors of 88920 and 88939 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 88939

Prime factors of 88939 are 19, 31, 151. Prime factorization of 88939 in exponential form is:

88939 = 19¹ × 31¹ × 151¹

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 88939

List of positive integer factors of 88939 that divides 88920 without a remainder.

1, 19, 31, 151, 589, 2869, 4681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88920 and 88939. The biggest common factor number is the GCF number.
So the greatest common factor 88920 and 88939 is 19.

Also check out the Least Common Multiple of 88920 and 88939