What is the Greatest Common Factor of 88900 and 88914?

Greatest common factor (GCF) of 88900 and 88914 is 14.

GCF(88900,88914) = 14

We will now calculate the prime factors of 88900 and 88914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88900 and 88914.

How to find the GCF of 88900 and 88914?

We will first find the prime factorization of 88900 and 88914. After we will calculate the factors of 88900 and 88914 and find the biggest common factor number .

Step-1: Prime Factorization of 88900

Prime factors of 88900 are 2, 5, 7, 127. Prime factorization of 88900 in exponential form is:

88900 = 2² × 5² × 7¹ × 127¹

Step-2: 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-3: Factors of 88900

List of positive integer factors of 88900 that divides 88900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 127, 140, 175, 254, 350, 508, 635, 700, 889, 1270, 1778, 2540, 3175, 3556, 4445, 6350, 8890, 12700, 17780, 22225, 44450

Step-4: Factors of 88914

List of positive integer factors of 88914 that divides 88900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88900 and 88914. The biggest common factor number is the GCF number.
So the greatest common factor 88900 and 88914 is 14.

Also check out the Least Common Multiple of 88900 and 88914