What is the Greatest Common Factor of 25464 and 25470?

Greatest common factor (GCF) of 25464 and 25470 is 6.

GCF(25464,25470) = 6

We will now calculate the prime factors of 25464 and 25470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25464 and 25470.

How to find the GCF of 25464 and 25470?

We will first find the prime factorization of 25464 and 25470. After we will calculate the factors of 25464 and 25470 and find the biggest common factor number .

Step-1: Prime Factorization of 25464

Prime factors of 25464 are 2, 3, 1061. Prime factorization of 25464 in exponential form is:

25464 = 2³ × 3¹ × 1061¹

Step-2: Prime Factorization of 25470

Prime factors of 25470 are 2, 3, 5, 283. Prime factorization of 25470 in exponential form is:

25470 = 2¹ × 3² × 5¹ × 283¹

Step-3: Factors of 25464

List of positive integer factors of 25464 that divides 25464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1061, 2122, 3183, 4244, 6366, 8488, 12732

Step-4: Factors of 25470

List of positive integer factors of 25470 that divides 25464 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 283, 566, 849, 1415, 1698, 2547, 2830, 4245, 5094, 8490, 12735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25464 and 25470. The biggest common factor number is the GCF number.
So the greatest common factor 25464 and 25470 is 6.

Also check out the Least Common Multiple of 25464 and 25470