What is the Greatest Common Factor of 87752 and 87757?

Greatest common factor (GCF) of 87752 and 87757 is 1.

GCF(87752,87757) = 1

We will now calculate the prime factors of 87752 and 87757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87752 and 87757.

How to find the GCF of 87752 and 87757?

We will first find the prime factorization of 87752 and 87757. After we will calculate the factors of 87752 and 87757 and find the biggest common factor number .

Step-1: Prime Factorization of 87752

Prime factors of 87752 are 2, 7, 1567. Prime factorization of 87752 in exponential form is:

87752 = 2³ × 7¹ × 1567¹

Step-2: Prime Factorization of 87757

Prime factors of 87757 are 127, 691. Prime factorization of 87757 in exponential form is:

87757 = 127¹ × 691¹

Step-3: Factors of 87752

List of positive integer factors of 87752 that divides 87752 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1567, 3134, 6268, 10969, 12536, 21938, 43876

Step-4: Factors of 87757

List of positive integer factors of 87757 that divides 87752 without a remainder.

1, 127, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87752 and 87757. The biggest common factor number is the GCF number.
So the greatest common factor 87752 and 87757 is 1.

Also check out the Least Common Multiple of 87752 and 87757