What is the Greatest Common Factor of 31540 and 31550?

Greatest common factor (GCF) of 31540 and 31550 is 10.

GCF(31540,31550) = 10

We will now calculate the prime factors of 31540 and 31550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31540 and 31550.

How to find the GCF of 31540 and 31550?

We will first find the prime factorization of 31540 and 31550. After we will calculate the factors of 31540 and 31550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31550

Prime factors of 31550 are 2, 5, 631. Prime factorization of 31550 in exponential form is:

31550 = 2¹ × 5² × 631¹

Step-3: Factors of 31540

List of positive integer factors of 31540 that divides 31540 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

Step-4: Factors of 31550

List of positive integer factors of 31550 that divides 31540 without a remainder.

1, 2, 5, 10, 25, 50, 631, 1262, 3155, 6310, 15775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31540 and 31550. The biggest common factor number is the GCF number.
So the greatest common factor 31540 and 31550 is 10.

Also check out the Least Common Multiple of 31540 and 31550