What is the Greatest Common Factor of 31498 and 31506?

Greatest common factor (GCF) of 31498 and 31506 is 2.

GCF(31498,31506) = 2

We will now calculate the prime factors of 31498 and 31506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31498 and 31506.

How to find the GCF of 31498 and 31506?

We will first find the prime factorization of 31498 and 31506. After we will calculate the factors of 31498 and 31506 and find the biggest common factor number .

Step-1: Prime Factorization of 31498

Prime factors of 31498 are 2, 15749. Prime factorization of 31498 in exponential form is:

31498 = 2¹ × 15749¹

Step-2: Prime Factorization of 31506

Prime factors of 31506 are 2, 3, 59, 89. Prime factorization of 31506 in exponential form is:

31506 = 2¹ × 3¹ × 59¹ × 89¹

Step-3: Factors of 31498

List of positive integer factors of 31498 that divides 31498 without a remainder.

1, 2, 15749

Step-4: Factors of 31506

List of positive integer factors of 31506 that divides 31498 without a remainder.

1, 2, 3, 6, 59, 89, 118, 177, 178, 267, 354, 534, 5251, 10502, 15753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31498 and 31506. The biggest common factor number is the GCF number.
So the greatest common factor 31498 and 31506 is 2.

Also check out the Least Common Multiple of 31498 and 31506