What is the Greatest Common Factor of 81538 and 81548?

Greatest common factor (GCF) of 81538 and 81548 is 2.

GCF(81538,81548) = 2

We will now calculate the prime factors of 81538 and 81548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81538 and 81548.

How to find the GCF of 81538 and 81548?

We will first find the prime factorization of 81538 and 81548. After we will calculate the factors of 81538 and 81548 and find the biggest common factor number .

Step-1: Prime Factorization of 81538

Prime factors of 81538 are 2, 59, 691. Prime factorization of 81538 in exponential form is:

81538 = 2¹ × 59¹ × 691¹

Step-2: Prime Factorization of 81548

Prime factors of 81548 are 2, 19, 29, 37. Prime factorization of 81548 in exponential form is:

81548 = 2² × 19¹ × 29¹ × 37¹

Step-3: Factors of 81538

List of positive integer factors of 81538 that divides 81538 without a remainder.

1, 2, 59, 118, 691, 1382, 40769

Step-4: Factors of 81548

List of positive integer factors of 81548 that divides 81538 without a remainder.

1, 2, 4, 19, 29, 37, 38, 58, 74, 76, 116, 148, 551, 703, 1073, 1102, 1406, 2146, 2204, 2812, 4292, 20387, 40774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81538 and 81548. The biggest common factor number is the GCF number.
So the greatest common factor 81538 and 81548 is 2.

Also check out the Least Common Multiple of 81538 and 81548