What is the Greatest Common Factor of 26838 and 26852?

Greatest common factor (GCF) of 26838 and 26852 is 14.

GCF(26838,26852) = 14

We will now calculate the prime factors of 26838 and 26852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26838 and 26852.

How to find the GCF of 26838 and 26852?

We will first find the prime factorization of 26838 and 26852. After we will calculate the factors of 26838 and 26852 and find the biggest common factor number .

Step-1: Prime Factorization of 26838

Prime factors of 26838 are 2, 3, 7, 71. Prime factorization of 26838 in exponential form is:

26838 = 2¹ × 3³ × 7¹ × 71¹

Step-2: Prime Factorization of 26852

Prime factors of 26852 are 2, 7, 137. Prime factorization of 26852 in exponential form is:

26852 = 2² × 7² × 137¹

Step-3: Factors of 26838

List of positive integer factors of 26838 that divides 26838 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 71, 126, 142, 189, 213, 378, 426, 497, 639, 994, 1278, 1491, 1917, 2982, 3834, 4473, 8946, 13419

Step-4: Factors of 26852

List of positive integer factors of 26852 that divides 26838 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 137, 196, 274, 548, 959, 1918, 3836, 6713, 13426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26838 and 26852. The biggest common factor number is the GCF number.
So the greatest common factor 26838 and 26852 is 14.

Also check out the Least Common Multiple of 26838 and 26852