What is the Greatest Common Factor of 81560 and 81570?

Greatest common factor (GCF) of 81560 and 81570 is 10.

GCF(81560,81570) = 10

We will now calculate the prime factors of 81560 and 81570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81560 and 81570.

How to find the GCF of 81560 and 81570?

We will first find the prime factorization of 81560 and 81570. After we will calculate the factors of 81560 and 81570 and find the biggest common factor number .

Step-1: Prime Factorization of 81560

Prime factors of 81560 are 2, 5, 2039. Prime factorization of 81560 in exponential form is:

81560 = 2³ × 5¹ × 2039¹

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 81560

List of positive integer factors of 81560 that divides 81560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2039, 4078, 8156, 10195, 16312, 20390, 40780

Step-4: Factors of 81570

List of positive integer factors of 81570 that divides 81560 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 81560 and 81570. The biggest common factor number is the GCF number.
So the greatest common factor 81560 and 81570 is 10.

Also check out the Least Common Multiple of 81560 and 81570