What is the Greatest Common Factor of 31461 and 31480?

Greatest common factor (GCF) of 31461 and 31480 is 1.

GCF(31461,31480) = 1

We will now calculate the prime factors of 31461 and 31480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31461 and 31480.

How to find the GCF of 31461 and 31480?

We will first find the prime factorization of 31461 and 31480. After we will calculate the factors of 31461 and 31480 and find the biggest common factor number .

Step-1: Prime Factorization of 31461

Prime factors of 31461 are 3, 10487. Prime factorization of 31461 in exponential form is:

31461 = 3¹ × 10487¹

Step-2: Prime Factorization of 31480

Prime factors of 31480 are 2, 5, 787. Prime factorization of 31480 in exponential form is:

31480 = 2³ × 5¹ × 787¹

Step-3: Factors of 31461

List of positive integer factors of 31461 that divides 31461 without a remainder.

1, 3, 10487

Step-4: Factors of 31480

List of positive integer factors of 31480 that divides 31461 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31461 and 31480. The biggest common factor number is the GCF number.
So the greatest common factor 31461 and 31480 is 1.

Also check out the Least Common Multiple of 31461 and 31480