What is the Greatest Common Factor of 87769 and 87787?

Greatest common factor (GCF) of 87769 and 87787 is 1.

GCF(87769,87787) = 1

We will now calculate the prime factors of 87769 and 87787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87769 and 87787.

How to find the GCF of 87769 and 87787?

We will first find the prime factorization of 87769 and 87787. After we will calculate the factors of 87769 and 87787 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 87787

Prime factors of 87787 are 7, 12541. Prime factorization of 87787 in exponential form is:

87787 = 7¹ × 12541¹

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 87787

List of positive integer factors of 87787 that divides 87769 without a remainder.

1, 7, 12541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87769 and 87787. The biggest common factor number is the GCF number.
So the greatest common factor 87769 and 87787 is 1.

Also check out the Least Common Multiple of 87769 and 87787