What is the Greatest Common Factor of 87236 and 87241?

Greatest common factor (GCF) of 87236 and 87241 is 1.

GCF(87236,87241) = 1

We will now calculate the prime factors of 87236 and 87241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87236 and 87241.

How to find the GCF of 87236 and 87241?

We will first find the prime factorization of 87236 and 87241. After we will calculate the factors of 87236 and 87241 and find the biggest common factor number .

Step-1: Prime Factorization of 87236

Prime factors of 87236 are 2, 113, 193. Prime factorization of 87236 in exponential form is:

87236 = 2² × 113¹ × 193¹

Step-2: Prime Factorization of 87241

Prime factors of 87241 are 7, 11, 103. Prime factorization of 87241 in exponential form is:

87241 = 7¹ × 11² × 103¹

Step-3: Factors of 87236

List of positive integer factors of 87236 that divides 87236 without a remainder.

1, 2, 4, 113, 193, 226, 386, 452, 772, 21809, 43618

Step-4: Factors of 87241

List of positive integer factors of 87241 that divides 87236 without a remainder.

1, 7, 11, 77, 103, 121, 721, 847, 1133, 7931, 12463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87236 and 87241. The biggest common factor number is the GCF number.
So the greatest common factor 87236 and 87241 is 1.

Also check out the Least Common Multiple of 87236 and 87241