What is the Greatest Common Factor of 31153 and 31164?

Greatest common factor (GCF) of 31153 and 31164 is 1.

GCF(31153,31164) = 1

We will now calculate the prime factors of 31153 and 31164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31153 and 31164.

How to find the GCF of 31153 and 31164?

We will first find the prime factorization of 31153 and 31164. After we will calculate the factors of 31153 and 31164 and find the biggest common factor number .

Step-1: Prime Factorization of 31153

Prime factors of 31153 are 31153. Prime factorization of 31153 in exponential form is:

31153 = 31153¹

Step-2: Prime Factorization of 31164

Prime factors of 31164 are 2, 3, 7, 53. Prime factorization of 31164 in exponential form is:

31164 = 2² × 3¹ × 7² × 53¹

Step-3: Factors of 31153

List of positive integer factors of 31153 that divides 31153 without a remainder.

Step-4: Factors of 31164

List of positive integer factors of 31164 that divides 31153 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 53, 84, 98, 106, 147, 159, 196, 212, 294, 318, 371, 588, 636, 742, 1113, 1484, 2226, 2597, 4452, 5194, 7791, 10388, 15582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31153 and 31164. The biggest common factor number is the GCF number.
So the greatest common factor 31153 and 31164 is 1.

Also check out the Least Common Multiple of 31153 and 31164