What is the Greatest Common Factor of 89285 and 89292?

Greatest common factor (GCF) of 89285 and 89292 is 7.

GCF(89285,89292) = 7

We will now calculate the prime factors of 89285 and 89292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89285 and 89292.

How to find the GCF of 89285 and 89292?

We will first find the prime factorization of 89285 and 89292. After we will calculate the factors of 89285 and 89292 and find the biggest common factor number .

Step-1: Prime Factorization of 89285

Prime factors of 89285 are 5, 7, 2551. Prime factorization of 89285 in exponential form is:

89285 = 5¹ × 7¹ × 2551¹

Step-2: Prime Factorization of 89292

Prime factors of 89292 are 2, 3, 7, 1063. Prime factorization of 89292 in exponential form is:

89292 = 2² × 3¹ × 7¹ × 1063¹

Step-3: Factors of 89285

List of positive integer factors of 89285 that divides 89285 without a remainder.

1, 5, 7, 35, 2551, 12755, 17857

Step-4: Factors of 89292

List of positive integer factors of 89292 that divides 89285 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1063, 2126, 3189, 4252, 6378, 7441, 12756, 14882, 22323, 29764, 44646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89285 and 89292. The biggest common factor number is the GCF number.
So the greatest common factor 89285 and 89292 is 7.

Also check out the Least Common Multiple of 89285 and 89292