What is the Greatest Common Factor of 71077 and 71094?

Greatest common factor (GCF) of 71077 and 71094 is 17.

GCF(71077,71094) = 17

We will now calculate the prime factors of 71077 and 71094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71077 and 71094.

How to find the GCF of 71077 and 71094?

We will first find the prime factorization of 71077 and 71094. After we will calculate the factors of 71077 and 71094 and find the biggest common factor number .

Step-1: Prime Factorization of 71077

Prime factors of 71077 are 17, 37, 113. Prime factorization of 71077 in exponential form is:

71077 = 17¹ × 37¹ × 113¹

Step-2: Prime Factorization of 71094

Prime factors of 71094 are 2, 3, 17, 41. Prime factorization of 71094 in exponential form is:

71094 = 2¹ × 3¹ × 17² × 41¹

Step-3: Factors of 71077

List of positive integer factors of 71077 that divides 71077 without a remainder.

1, 17, 37, 113, 629, 1921, 4181

Step-4: Factors of 71094

List of positive integer factors of 71094 that divides 71077 without a remainder.

1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 289, 578, 697, 867, 1394, 1734, 2091, 4182, 11849, 23698, 35547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71077 and 71094. The biggest common factor number is the GCF number.
So the greatest common factor 71077 and 71094 is 17.

Also check out the Least Common Multiple of 71077 and 71094