What is the Greatest Common Factor of 86742 and 86761?

Greatest common factor (GCF) of 86742 and 86761 is 1.

GCF(86742,86761) = 1

We will now calculate the prime factors of 86742 and 86761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86742 and 86761.

How to find the GCF of 86742 and 86761?

We will first find the prime factorization of 86742 and 86761. After we will calculate the factors of 86742 and 86761 and find the biggest common factor number .

Step-1: Prime Factorization of 86742

Prime factors of 86742 are 2, 3, 61, 79. Prime factorization of 86742 in exponential form is:

86742 = 2¹ × 3² × 61¹ × 79¹

Step-2: Prime Factorization of 86761

Prime factors of 86761 are 53, 1637. Prime factorization of 86761 in exponential form is:

86761 = 53¹ × 1637¹

Step-3: Factors of 86742

List of positive integer factors of 86742 that divides 86742 without a remainder.

1, 2, 3, 6, 9, 18, 61, 79, 122, 158, 183, 237, 366, 474, 549, 711, 1098, 1422, 4819, 9638, 14457, 28914, 43371

Step-4: Factors of 86761

List of positive integer factors of 86761 that divides 86742 without a remainder.

1, 53, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86742 and 86761. The biggest common factor number is the GCF number.
So the greatest common factor 86742 and 86761 is 1.

Also check out the Least Common Multiple of 86742 and 86761