What is the Greatest Common Factor of 26524 and 26544?

Greatest common factor (GCF) of 26524 and 26544 is 4.

GCF(26524,26544) = 4

We will now calculate the prime factors of 26524 and 26544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26524 and 26544.

How to find the GCF of 26524 and 26544?

We will first find the prime factorization of 26524 and 26544. After we will calculate the factors of 26524 and 26544 and find the biggest common factor number .

Step-1: Prime Factorization of 26524

Prime factors of 26524 are 2, 19, 349. Prime factorization of 26524 in exponential form is:

26524 = 2² × 19¹ × 349¹

Step-2: Prime Factorization of 26544

Prime factors of 26544 are 2, 3, 7, 79. Prime factorization of 26544 in exponential form is:

26544 = 2⁴ × 3¹ × 7¹ × 79¹

Step-3: Factors of 26524

List of positive integer factors of 26524 that divides 26524 without a remainder.

1, 2, 4, 19, 38, 76, 349, 698, 1396, 6631, 13262

Step-4: Factors of 26544

List of positive integer factors of 26544 that divides 26524 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 79, 84, 112, 158, 168, 237, 316, 336, 474, 553, 632, 948, 1106, 1264, 1659, 1896, 2212, 3318, 3792, 4424, 6636, 8848, 13272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26524 and 26544. The biggest common factor number is the GCF number.
So the greatest common factor 26524 and 26544 is 4.

Also check out the Least Common Multiple of 26524 and 26544