What is the Greatest Common Factor of 77715 and 77726?

Greatest common factor (GCF) of 77715 and 77726 is 11.

GCF(77715,77726) = 11

We will now calculate the prime factors of 77715 and 77726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77715 and 77726.

How to find the GCF of 77715 and 77726?

We will first find the prime factorization of 77715 and 77726. After we will calculate the factors of 77715 and 77726 and find the biggest common factor number .

Step-1: Prime Factorization of 77715

Prime factors of 77715 are 3, 5, 11, 157. Prime factorization of 77715 in exponential form is:

77715 = 3² × 5¹ × 11¹ × 157¹

Step-2: Prime Factorization of 77726

Prime factors of 77726 are 2, 11, 3533. Prime factorization of 77726 in exponential form is:

77726 = 2¹ × 11¹ × 3533¹

Step-3: Factors of 77715

List of positive integer factors of 77715 that divides 77715 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 157, 165, 471, 495, 785, 1413, 1727, 2355, 5181, 7065, 8635, 15543, 25905

Step-4: Factors of 77726

List of positive integer factors of 77726 that divides 77715 without a remainder.

1, 2, 11, 22, 3533, 7066, 38863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77715 and 77726. The biggest common factor number is the GCF number.
So the greatest common factor 77715 and 77726 is 11.

Also check out the Least Common Multiple of 77715 and 77726