What is the Greatest Common Factor of 61832 and 61841?

Greatest common factor (GCF) of 61832 and 61841 is 1.

GCF(61832,61841) = 1

We will now calculate the prime factors of 61832 and 61841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61832 and 61841.

How to find the GCF of 61832 and 61841?

We will first find the prime factorization of 61832 and 61841. After we will calculate the factors of 61832 and 61841 and find the biggest common factor number .

Step-1: Prime Factorization of 61832

Prime factors of 61832 are 2, 59, 131. Prime factorization of 61832 in exponential form is:

61832 = 2³ × 59¹ × 131¹

Step-2: Prime Factorization of 61841

Prime factors of 61841 are 13, 67, 71. Prime factorization of 61841 in exponential form is:

61841 = 13¹ × 67¹ × 71¹

Step-3: Factors of 61832

List of positive integer factors of 61832 that divides 61832 without a remainder.

1, 2, 4, 8, 59, 118, 131, 236, 262, 472, 524, 1048, 7729, 15458, 30916

Step-4: Factors of 61841

List of positive integer factors of 61841 that divides 61832 without a remainder.

1, 13, 67, 71, 871, 923, 4757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61832 and 61841. The biggest common factor number is the GCF number.
So the greatest common factor 61832 and 61841 is 1.

Also check out the Least Common Multiple of 61832 and 61841