What is the Greatest Common Factor of 31530 and 31540?

Greatest common factor (GCF) of 31530 and 31540 is 10.

GCF(31530,31540) = 10

We will now calculate the prime factors of 31530 and 31540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31530 and 31540.

How to find the GCF of 31530 and 31540?

We will first find the prime factorization of 31530 and 31540. After we will calculate the factors of 31530 and 31540 and find the biggest common factor number .

Step-1: Prime Factorization of 31530

Prime factors of 31530 are 2, 3, 5, 1051. Prime factorization of 31530 in exponential form is:

31530 = 2¹ × 3¹ × 5¹ × 1051¹

Step-2: Prime Factorization of 31540

Prime factors of 31540 are 2, 5, 19, 83. Prime factorization of 31540 in exponential form is:

31540 = 2² × 5¹ × 19¹ × 83¹

Step-3: Factors of 31530

List of positive integer factors of 31530 that divides 31530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1051, 2102, 3153, 5255, 6306, 10510, 15765

Step-4: Factors of 31540

List of positive integer factors of 31540 that divides 31530 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 83, 95, 166, 190, 332, 380, 415, 830, 1577, 1660, 3154, 6308, 7885, 15770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31530 and 31540. The biggest common factor number is the GCF number.
So the greatest common factor 31530 and 31540 is 10.

Also check out the Least Common Multiple of 31530 and 31540