What is the Greatest Common Factor of 89880 and 89897?

Greatest common factor (GCF) of 89880 and 89897 is 1.

GCF(89880,89897) = 1

We will now calculate the prime factors of 89880 and 89897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89880 and 89897.

How to find the GCF of 89880 and 89897?

We will first find the prime factorization of 89880 and 89897. After we will calculate the factors of 89880 and 89897 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89897

Prime factors of 89897 are 89897. Prime factorization of 89897 in exponential form is:

89897 = 89897¹

Step-3: Factors of 89880

List of positive integer factors of 89880 that divides 89880 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

Step-4: Factors of 89897

List of positive integer factors of 89897 that divides 89880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89880 and 89897. The biggest common factor number is the GCF number.
So the greatest common factor 89880 and 89897 is 1.

Also check out the Least Common Multiple of 89880 and 89897