What is the Greatest Common Factor of 31974 and 31987?

Greatest common factor (GCF) of 31974 and 31987 is 1.

GCF(31974,31987) = 1

We will now calculate the prime factors of 31974 and 31987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31974 and 31987.

How to find the GCF of 31974 and 31987?

We will first find the prime factorization of 31974 and 31987. After we will calculate the factors of 31974 and 31987 and find the biggest common factor number .

Step-1: Prime Factorization of 31974

Prime factors of 31974 are 2, 3, 73. Prime factorization of 31974 in exponential form is:

31974 = 2¹ × 3¹ × 73²

Step-2: Prime Factorization of 31987

Prime factors of 31987 are 29, 1103. Prime factorization of 31987 in exponential form is:

31987 = 29¹ × 1103¹

Step-3: Factors of 31974

List of positive integer factors of 31974 that divides 31974 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438, 5329, 10658, 15987

Step-4: Factors of 31987

List of positive integer factors of 31987 that divides 31974 without a remainder.

1, 29, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31974 and 31987. The biggest common factor number is the GCF number.
So the greatest common factor 31974 and 31987 is 1.

Also check out the Least Common Multiple of 31974 and 31987