What is the Greatest Common Factor of 89873 and 89880?

Greatest common factor (GCF) of 89873 and 89880 is 7.

GCF(89873,89880) = 7

We will now calculate the prime factors of 89873 and 89880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89873 and 89880.

How to find the GCF of 89873 and 89880?

We will first find the prime factorization of 89873 and 89880. After we will calculate the factors of 89873 and 89880 and find the biggest common factor number .

Step-1: Prime Factorization of 89873

Prime factors of 89873 are 7, 37, 347. Prime factorization of 89873 in exponential form is:

89873 = 7¹ × 37¹ × 347¹

Step-2: Prime Factorization of 89880

Prime factors of 89880 are 2, 3, 5, 7, 107. Prime factorization of 89880 in exponential form is:

89880 = 2³ × 3¹ × 5¹ × 7¹ × 107¹

Step-3: Factors of 89873

List of positive integer factors of 89873 that divides 89873 without a remainder.

1, 7, 37, 259, 347, 2429, 12839

Step-4: Factors of 89880

List of positive integer factors of 89880 that divides 89873 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 107, 120, 140, 168, 210, 214, 280, 321, 420, 428, 535, 642, 749, 840, 856, 1070, 1284, 1498, 1605, 2140, 2247, 2568, 2996, 3210, 3745, 4280, 4494, 5992, 6420, 7490, 8988, 11235, 12840, 14980, 17976, 22470, 29960, 44940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89873 and 89880. The biggest common factor number is the GCF number.
So the greatest common factor 89873 and 89880 is 7.

Also check out the Least Common Multiple of 89873 and 89880