What is the Greatest Common Factor of 87769 and 87783?

Greatest common factor (GCF) of 87769 and 87783 is 1.

GCF(87769,87783) = 1

We will now calculate the prime factors of 87769 and 87783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87769 and 87783.

How to find the GCF of 87769 and 87783?

We will first find the prime factorization of 87769 and 87783. After we will calculate the factors of 87769 and 87783 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87783

Prime factors of 87783 are 3, 29, 1009. Prime factorization of 87783 in exponential form is:

87783 = 3¹ × 29¹ × 1009¹

Step-3: Factors of 87769

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

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

Step-4: Factors of 87783

List of positive integer factors of 87783 that divides 87769 without a remainder.

1, 3, 29, 87, 1009, 3027, 29261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87769 and 87783. The biggest common factor number is the GCF number.
So the greatest common factor 87769 and 87783 is 1.

Also check out the Least Common Multiple of 87769 and 87783