What is the Greatest Common Factor of 26560 and 26570?

Greatest common factor (GCF) of 26560 and 26570 is 10.

GCF(26560,26570) = 10

We will now calculate the prime factors of 26560 and 26570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26560 and 26570.

How to find the GCF of 26560 and 26570?

We will first find the prime factorization of 26560 and 26570. After we will calculate the factors of 26560 and 26570 and find the biggest common factor number .

Step-1: Prime Factorization of 26560

Prime factors of 26560 are 2, 5, 83. Prime factorization of 26560 in exponential form is:

26560 = 2⁶ × 5¹ × 83¹

Step-2: Prime Factorization of 26570

Prime factors of 26570 are 2, 5, 2657. Prime factorization of 26570 in exponential form is:

26570 = 2¹ × 5¹ × 2657¹

Step-3: Factors of 26560

List of positive integer factors of 26560 that divides 26560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 83, 160, 166, 320, 332, 415, 664, 830, 1328, 1660, 2656, 3320, 5312, 6640, 13280

Step-4: Factors of 26570

List of positive integer factors of 26570 that divides 26560 without a remainder.

1, 2, 5, 10, 2657, 5314, 13285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26560 and 26570. The biggest common factor number is the GCF number.
So the greatest common factor 26560 and 26570 is 10.

Also check out the Least Common Multiple of 26560 and 26570