What is the Greatest Common Factor of 31076 and 31094?

Greatest common factor (GCF) of 31076 and 31094 is 2.

GCF(31076,31094) = 2

We will now calculate the prime factors of 31076 and 31094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31076 and 31094.

How to find the GCF of 31076 and 31094?

We will first find the prime factorization of 31076 and 31094. After we will calculate the factors of 31076 and 31094 and find the biggest common factor number .

Step-1: Prime Factorization of 31076

Prime factors of 31076 are 2, 17, 457. Prime factorization of 31076 in exponential form is:

31076 = 2² × 17¹ × 457¹

Step-2: Prime Factorization of 31094

Prime factors of 31094 are 2, 7, 2221. Prime factorization of 31094 in exponential form is:

31094 = 2¹ × 7¹ × 2221¹

Step-3: Factors of 31076

List of positive integer factors of 31076 that divides 31076 without a remainder.

1, 2, 4, 17, 34, 68, 457, 914, 1828, 7769, 15538

Step-4: Factors of 31094

List of positive integer factors of 31094 that divides 31076 without a remainder.

1, 2, 7, 14, 2221, 4442, 15547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31076 and 31094. The biggest common factor number is the GCF number.
So the greatest common factor 31076 and 31094 is 2.

Also check out the Least Common Multiple of 31076 and 31094