What is the Greatest Common Factor of 77142 and 77161?

Greatest common factor (GCF) of 77142 and 77161 is 1.

GCF(77142,77161) = 1

We will now calculate the prime factors of 77142 and 77161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77142 and 77161.

How to find the GCF of 77142 and 77161?

We will first find the prime factorization of 77142 and 77161. After we will calculate the factors of 77142 and 77161 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 77161

Prime factors of 77161 are 7, 73, 151. Prime factorization of 77161 in exponential form is:

77161 = 7¹ × 73¹ × 151¹

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 77161

List of positive integer factors of 77161 that divides 77142 without a remainder.

1, 7, 73, 151, 511, 1057, 11023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77142 and 77161. The biggest common factor number is the GCF number.
So the greatest common factor 77142 and 77161 is 1.

Also check out the Least Common Multiple of 77142 and 77161