What is the Greatest Common Factor of 77142 and 77155?

Greatest common factor (GCF) of 77142 and 77155 is 13.

GCF(77142,77155) = 13

We will now calculate the prime factors of 77142 and 77155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77142 and 77155.

How to find the GCF of 77142 and 77155?

We will first find the prime factorization of 77142 and 77155. After we will calculate the factors of 77142 and 77155 and find the biggest common factor number .

Step-1: Prime Factorization of 77142

Prime factors of 77142 are 2, 3, 13, 23, 43. Prime factorization of 77142 in exponential form is:

77142 = 2¹ × 3¹ × 13¹ × 23¹ × 43¹

Step-2: Prime Factorization of 77155

Prime factors of 77155 are 5, 13, 1187. Prime factorization of 77155 in exponential form is:

77155 = 5¹ × 13¹ × 1187¹

Step-3: Factors of 77142

List of positive integer factors of 77142 that divides 77142 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 43, 46, 69, 78, 86, 129, 138, 258, 299, 559, 598, 897, 989, 1118, 1677, 1794, 1978, 2967, 3354, 5934, 12857, 25714, 38571

Step-4: Factors of 77155

List of positive integer factors of 77155 that divides 77142 without a remainder.

1, 5, 13, 65, 1187, 5935, 15431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77142 and 77155. The biggest common factor number is the GCF number.
So the greatest common factor 77142 and 77155 is 13.

Also check out the Least Common Multiple of 77142 and 77155