What is the Greatest Common Factor of 89880 and 89890?

Greatest common factor (GCF) of 89880 and 89890 is 10.

GCF(89880,89890) = 10

We will now calculate the prime factors of 89880 and 89890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89880 and 89890.

How to find the GCF of 89880 and 89890?

We will first find the prime factorization of 89880 and 89890. After we will calculate the factors of 89880 and 89890 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 89890

Prime factors of 89890 are 2, 5, 89, 101. Prime factorization of 89890 in exponential form is:

89890 = 2¹ × 5¹ × 89¹ × 101¹

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 89890

List of positive integer factors of 89890 that divides 89880 without a remainder.

1, 2, 5, 10, 89, 101, 178, 202, 445, 505, 890, 1010, 8989, 17978, 44945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89880 and 89890. The biggest common factor number is the GCF number.
So the greatest common factor 89880 and 89890 is 10.

Also check out the Least Common Multiple of 89880 and 89890