What is the Greatest Common Factor of 87752 and 87760?

Greatest common factor (GCF) of 87752 and 87760 is 8.

GCF(87752,87760) = 8

We will now calculate the prime factors of 87752 and 87760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87752 and 87760.

How to find the GCF of 87752 and 87760?

We will first find the prime factorization of 87752 and 87760. After we will calculate the factors of 87752 and 87760 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 87760

Prime factors of 87760 are 2, 5, 1097. Prime factorization of 87760 in exponential form is:

87760 = 2⁴ × 5¹ × 1097¹

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 87760

List of positive integer factors of 87760 that divides 87752 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1097, 2194, 4388, 5485, 8776, 10970, 17552, 21940, 43880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87752 and 87760. The biggest common factor number is the GCF number.
So the greatest common factor 87752 and 87760 is 8.

Also check out the Least Common Multiple of 87752 and 87760