What is the Greatest Common Factor of 81552 and 81570?

Greatest common factor (GCF) of 81552 and 81570 is 6.

GCF(81552,81570) = 6

We will now calculate the prime factors of 81552 and 81570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81552 and 81570.

How to find the GCF of 81552 and 81570?

We will first find the prime factorization of 81552 and 81570. After we will calculate the factors of 81552 and 81570 and find the biggest common factor number .

Step-1: Prime Factorization of 81552

Prime factors of 81552 are 2, 3, 1699. Prime factorization of 81552 in exponential form is:

81552 = 2⁴ × 3¹ × 1699¹

Step-2: Prime Factorization of 81570

Prime factors of 81570 are 2, 3, 5, 2719. Prime factorization of 81570 in exponential form is:

81570 = 2¹ × 3¹ × 5¹ × 2719¹

Step-3: Factors of 81552

List of positive integer factors of 81552 that divides 81552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1699, 3398, 5097, 6796, 10194, 13592, 20388, 27184, 40776

Step-4: Factors of 81570

List of positive integer factors of 81570 that divides 81552 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2719, 5438, 8157, 13595, 16314, 27190, 40785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81552 and 81570. The biggest common factor number is the GCF number.
So the greatest common factor 81552 and 81570 is 6.

Also check out the Least Common Multiple of 81552 and 81570