What is the Greatest Common Factor of 31618 and 31624?

Greatest common factor (GCF) of 31618 and 31624 is 2.

GCF(31618,31624) = 2

We will now calculate the prime factors of 31618 and 31624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31618 and 31624.

How to find the GCF of 31618 and 31624?

We will first find the prime factorization of 31618 and 31624. After we will calculate the factors of 31618 and 31624 and find the biggest common factor number .

Step-1: Prime Factorization of 31618

Prime factors of 31618 are 2, 15809. Prime factorization of 31618 in exponential form is:

31618 = 2¹ × 15809¹

Step-2: Prime Factorization of 31624

Prime factors of 31624 are 2, 59, 67. Prime factorization of 31624 in exponential form is:

31624 = 2³ × 59¹ × 67¹

Step-3: Factors of 31618

List of positive integer factors of 31618 that divides 31618 without a remainder.

1, 2, 15809

Step-4: Factors of 31624

List of positive integer factors of 31624 that divides 31618 without a remainder.

1, 2, 4, 8, 59, 67, 118, 134, 236, 268, 472, 536, 3953, 7906, 15812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31618 and 31624. The biggest common factor number is the GCF number.
So the greatest common factor 31618 and 31624 is 2.

Also check out the Least Common Multiple of 31618 and 31624