What is the Greatest Common Factor of 87760 and 87769?

Greatest common factor (GCF) of 87760 and 87769 is 1.

GCF(87760,87769) = 1

We will now calculate the prime factors of 87760 and 87769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87760 and 87769.

How to find the GCF of 87760 and 87769?

We will first find the prime factorization of 87760 and 87769. After we will calculate the factors of 87760 and 87769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87769

Prime factors of 87769 are 11, 79, 101. Prime factorization of 87769 in exponential form is:

87769 = 11¹ × 79¹ × 101¹

Step-3: Factors of 87760

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

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

Step-4: Factors of 87769

List of positive integer factors of 87769 that divides 87760 without a remainder.

1, 11, 79, 101, 869, 1111, 7979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87760 and 87769. The biggest common factor number is the GCF number.
So the greatest common factor 87760 and 87769 is 1.

Also check out the Least Common Multiple of 87760 and 87769