What is the Greatest Common Factor of 26522 and 26532?

Greatest common factor (GCF) of 26522 and 26532 is 2.

GCF(26522,26532) = 2

We will now calculate the prime factors of 26522 and 26532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26522 and 26532.

How to find the GCF of 26522 and 26532?

We will first find the prime factorization of 26522 and 26532. After we will calculate the factors of 26522 and 26532 and find the biggest common factor number .

Step-1: Prime Factorization of 26522

Prime factors of 26522 are 2, 89, 149. Prime factorization of 26522 in exponential form is:

26522 = 2¹ × 89¹ × 149¹

Step-2: Prime Factorization of 26532

Prime factors of 26532 are 2, 3, 11, 67. Prime factorization of 26532 in exponential form is:

26532 = 2² × 3² × 11¹ × 67¹

Step-3: Factors of 26522

List of positive integer factors of 26522 that divides 26522 without a remainder.

1, 2, 89, 149, 178, 298, 13261

Step-4: Factors of 26532

List of positive integer factors of 26532 that divides 26522 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 67, 99, 132, 134, 198, 201, 268, 396, 402, 603, 737, 804, 1206, 1474, 2211, 2412, 2948, 4422, 6633, 8844, 13266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26522 and 26532. The biggest common factor number is the GCF number.
So the greatest common factor 26522 and 26532 is 2.

Also check out the Least Common Multiple of 26522 and 26532