What is the Greatest Common Factor of 31560 and 31574?

Greatest common factor (GCF) of 31560 and 31574 is 2.

GCF(31560,31574) = 2

We will now calculate the prime factors of 31560 and 31574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31560 and 31574.

How to find the GCF of 31560 and 31574?

We will first find the prime factorization of 31560 and 31574. After we will calculate the factors of 31560 and 31574 and find the biggest common factor number .

Step-1: Prime Factorization of 31560

Prime factors of 31560 are 2, 3, 5, 263. Prime factorization of 31560 in exponential form is:

31560 = 2³ × 3¹ × 5¹ × 263¹

Step-2: Prime Factorization of 31574

Prime factors of 31574 are 2, 15787. Prime factorization of 31574 in exponential form is:

31574 = 2¹ × 15787¹

Step-3: Factors of 31560

List of positive integer factors of 31560 that divides 31560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 263, 526, 789, 1052, 1315, 1578, 2104, 2630, 3156, 3945, 5260, 6312, 7890, 10520, 15780

Step-4: Factors of 31574

List of positive integer factors of 31574 that divides 31560 without a remainder.

1, 2, 15787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31560 and 31574. The biggest common factor number is the GCF number.
So the greatest common factor 31560 and 31574 is 2.

Also check out the Least Common Multiple of 31560 and 31574