What is the Greatest Common Factor of 78116 and 78126?

Greatest common factor (GCF) of 78116 and 78126 is 2.

GCF(78116,78126) = 2

We will now calculate the prime factors of 78116 and 78126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78116 and 78126.

How to find the GCF of 78116 and 78126?

We will first find the prime factorization of 78116 and 78126. After we will calculate the factors of 78116 and 78126 and find the biggest common factor number .

Step-1: Prime Factorization of 78116

Prime factors of 78116 are 2, 59, 331. Prime factorization of 78116 in exponential form is:

78116 = 2² × 59¹ × 331¹

Step-2: Prime Factorization of 78126

Prime factors of 78126 are 2, 3, 29, 449. Prime factorization of 78126 in exponential form is:

78126 = 2¹ × 3¹ × 29¹ × 449¹

Step-3: Factors of 78116

List of positive integer factors of 78116 that divides 78116 without a remainder.

1, 2, 4, 59, 118, 236, 331, 662, 1324, 19529, 39058

Step-4: Factors of 78126

List of positive integer factors of 78126 that divides 78116 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 449, 898, 1347, 2694, 13021, 26042, 39063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78116 and 78126. The biggest common factor number is the GCF number.
So the greatest common factor 78116 and 78126 is 2.

Also check out the Least Common Multiple of 78116 and 78126