What is the Greatest Common Factor of 87449 and 87456?

Greatest common factor (GCF) of 87449 and 87456 is 1.

GCF(87449,87456) = 1

We will now calculate the prime factors of 87449 and 87456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87449 and 87456.

How to find the GCF of 87449 and 87456?

We will first find the prime factorization of 87449 and 87456. After we will calculate the factors of 87449 and 87456 and find the biggest common factor number .

Step-1: Prime Factorization of 87449

Prime factors of 87449 are 157, 557. Prime factorization of 87449 in exponential form is:

87449 = 157¹ × 557¹

Step-2: Prime Factorization of 87456

Prime factors of 87456 are 2, 3, 911. Prime factorization of 87456 in exponential form is:

87456 = 2⁵ × 3¹ × 911¹

Step-3: Factors of 87449

List of positive integer factors of 87449 that divides 87449 without a remainder.

1, 157, 557

Step-4: Factors of 87456

List of positive integer factors of 87456 that divides 87449 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864, 29152, 43728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87449 and 87456. The biggest common factor number is the GCF number.
So the greatest common factor 87449 and 87456 is 1.

Also check out the Least Common Multiple of 87449 and 87456