What is the Greatest Common Factor of 89642 and 89655?

Greatest common factor (GCF) of 89642 and 89655 is 1.

GCF(89642,89655) = 1

We will now calculate the prime factors of 89642 and 89655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89642 and 89655.

How to find the GCF of 89642 and 89655?

We will first find the prime factorization of 89642 and 89655. After we will calculate the factors of 89642 and 89655 and find the biggest common factor number .

Step-1: Prime Factorization of 89642

Prime factors of 89642 are 2, 7, 19, 337. Prime factorization of 89642 in exponential form is:

89642 = 2¹ × 7¹ × 19¹ × 337¹

Step-2: Prime Factorization of 89655

Prime factors of 89655 are 3, 5, 43, 139. Prime factorization of 89655 in exponential form is:

89655 = 3¹ × 5¹ × 43¹ × 139¹

Step-3: Factors of 89642

List of positive integer factors of 89642 that divides 89642 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 337, 674, 2359, 4718, 6403, 12806, 44821

Step-4: Factors of 89655

List of positive integer factors of 89655 that divides 89642 without a remainder.

1, 3, 5, 15, 43, 129, 139, 215, 417, 645, 695, 2085, 5977, 17931, 29885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89642 and 89655. The biggest common factor number is the GCF number.
So the greatest common factor 89642 and 89655 is 1.

Also check out the Least Common Multiple of 89642 and 89655