What is the Greatest Common Factor of 31 and 62?

Greatest common factor (GCF) of 31 and 62 is 31.

GCF(31,62) = 31

We will now calculate the prime factors of 31 and 62, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31 and 62.

How to find the GCF of 31 and 62?

We will first find the prime factorization of 31 and 62. After we will calculate the factors of 31 and 62 and find the biggest common factor number .

Step-1: Prime Factorization of 31

Prime factors of 31 are 31. Prime factorization of 31 in exponential form is:

31 = 31¹

Step-2: Prime Factorization of 62

Prime factors of 62 are 2, 31. Prime factorization of 62 in exponential form is:

62 = 2¹ × 31¹

Step-3: Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

Step-4: Factors of 62

List of positive integer factors of 62 that divides 31 without a remainder.

1, 2, 31

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31 and 62. The biggest common factor number is the GCF number.
So the greatest common factor 31 and 62 is 31.

Also check out the Least Common Multiple of 31 and 62