What is the Greatest Common Factor of 78114 and 78131?

Greatest common factor (GCF) of 78114 and 78131 is 1.

GCF(78114,78131) = 1

We will now calculate the prime factors of 78114 and 78131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78114 and 78131.

How to find the GCF of 78114 and 78131?

We will first find the prime factorization of 78114 and 78131. After we will calculate the factors of 78114 and 78131 and find the biggest common factor number .

Step-1: Prime Factorization of 78114

Prime factors of 78114 are 2, 3, 47, 277. Prime factorization of 78114 in exponential form is:

78114 = 2¹ × 3¹ × 47¹ × 277¹

Step-2: Prime Factorization of 78131

Prime factors of 78131 are 23, 43, 79. Prime factorization of 78131 in exponential form is:

78131 = 23¹ × 43¹ × 79¹

Step-3: Factors of 78114

List of positive integer factors of 78114 that divides 78114 without a remainder.

1, 2, 3, 6, 47, 94, 141, 277, 282, 554, 831, 1662, 13019, 26038, 39057

Step-4: Factors of 78131

List of positive integer factors of 78131 that divides 78114 without a remainder.

1, 23, 43, 79, 989, 1817, 3397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78114 and 78131. The biggest common factor number is the GCF number.
So the greatest common factor 78114 and 78131 is 1.

Also check out the Least Common Multiple of 78114 and 78131