What is the Greatest Common Factor of 31535 and 31542?

Greatest common factor (GCF) of 31535 and 31542 is 7.

GCF(31535,31542) = 7

We will now calculate the prime factors of 31535 and 31542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31535 and 31542.

How to find the GCF of 31535 and 31542?

We will first find the prime factorization of 31535 and 31542. After we will calculate the factors of 31535 and 31542 and find the biggest common factor number .

Step-1: Prime Factorization of 31535

Prime factors of 31535 are 5, 7, 17, 53. Prime factorization of 31535 in exponential form is:

31535 = 5¹ × 7¹ × 17¹ × 53¹

Step-2: Prime Factorization of 31542

Prime factors of 31542 are 2, 3, 7, 751. Prime factorization of 31542 in exponential form is:

31542 = 2¹ × 3¹ × 7¹ × 751¹

Step-3: Factors of 31535

List of positive integer factors of 31535 that divides 31535 without a remainder.

1, 5, 7, 17, 35, 53, 85, 119, 265, 371, 595, 901, 1855, 4505, 6307

Step-4: Factors of 31542

List of positive integer factors of 31542 that divides 31535 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 751, 1502, 2253, 4506, 5257, 10514, 15771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31535 and 31542. The biggest common factor number is the GCF number.
So the greatest common factor 31535 and 31542 is 7.

Also check out the Least Common Multiple of 31535 and 31542