What is the Greatest Common Factor of 31950 and 31969?

Greatest common factor (GCF) of 31950 and 31969 is 1.

GCF(31950,31969) = 1

We will now calculate the prime factors of 31950 and 31969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31950 and 31969.

How to find the GCF of 31950 and 31969?

We will first find the prime factorization of 31950 and 31969. After we will calculate the factors of 31950 and 31969 and find the biggest common factor number .

Step-1: Prime Factorization of 31950

Prime factors of 31950 are 2, 3, 5, 71. Prime factorization of 31950 in exponential form is:

31950 = 2¹ × 3² × 5² × 71¹

Step-2: Prime Factorization of 31969

Prime factors of 31969 are 7, 4567. Prime factorization of 31969 in exponential form is:

31969 = 7¹ × 4567¹

Step-3: Factors of 31950

List of positive integer factors of 31950 that divides 31950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 71, 75, 90, 142, 150, 213, 225, 355, 426, 450, 639, 710, 1065, 1278, 1775, 2130, 3195, 3550, 5325, 6390, 10650, 15975

Step-4: Factors of 31969

List of positive integer factors of 31969 that divides 31950 without a remainder.

1, 7, 4567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31950 and 31969. The biggest common factor number is the GCF number.
So the greatest common factor 31950 and 31969 is 1.

Also check out the Least Common Multiple of 31950 and 31969