What is the Greatest Common Factor of 31101 and 31108?

Greatest common factor (GCF) of 31101 and 31108 is 7.

GCF(31101,31108) = 7

We will now calculate the prime factors of 31101 and 31108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31101 and 31108.

How to find the GCF of 31101 and 31108?

We will first find the prime factorization of 31101 and 31108. After we will calculate the factors of 31101 and 31108 and find the biggest common factor number .

Step-1: Prime Factorization of 31101

Prime factors of 31101 are 3, 7, 1481. Prime factorization of 31101 in exponential form is:

31101 = 3¹ × 7¹ × 1481¹

Step-2: Prime Factorization of 31108

Prime factors of 31108 are 2, 7, 11, 101. Prime factorization of 31108 in exponential form is:

31108 = 2² × 7¹ × 11¹ × 101¹

Step-3: Factors of 31101

List of positive integer factors of 31101 that divides 31101 without a remainder.

1, 3, 7, 21, 1481, 4443, 10367

Step-4: Factors of 31108

List of positive integer factors of 31108 that divides 31101 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 101, 154, 202, 308, 404, 707, 1111, 1414, 2222, 2828, 4444, 7777, 15554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31101 and 31108. The biggest common factor number is the GCF number.
So the greatest common factor 31101 and 31108 is 7.

Also check out the Least Common Multiple of 31101 and 31108