What is the Greatest Common Factor of 61531 and 61538?

Greatest common factor (GCF) of 61531 and 61538 is 1.

GCF(61531,61538) = 1

We will now calculate the prime factors of 61531 and 61538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61531 and 61538.

How to find the GCF of 61531 and 61538?

We will first find the prime factorization of 61531 and 61538. After we will calculate the factors of 61531 and 61538 and find the biggest common factor number .

Step-1: Prime Factorization of 61531

Prime factors of 61531 are 37, 1663. Prime factorization of 61531 in exponential form is:

61531 = 37¹ × 1663¹

Step-2: Prime Factorization of 61538

Prime factors of 61538 are 2, 29, 1061. Prime factorization of 61538 in exponential form is:

61538 = 2¹ × 29¹ × 1061¹

Step-3: Factors of 61531

List of positive integer factors of 61531 that divides 61531 without a remainder.

1, 37, 1663

Step-4: Factors of 61538

List of positive integer factors of 61538 that divides 61531 without a remainder.

1, 2, 29, 58, 1061, 2122, 30769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61531 and 61538. The biggest common factor number is the GCF number.
So the greatest common factor 61531 and 61538 is 1.

Also check out the Least Common Multiple of 61531 and 61538