What is the Greatest Common Factor of 61529 and 61537?

Greatest common factor (GCF) of 61529 and 61537 is 1.

GCF(61529,61537) = 1

We will now calculate the prime factors of 61529 and 61537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61529 and 61537.

How to find the GCF of 61529 and 61537?

We will first find the prime factorization of 61529 and 61537. After we will calculate the factors of 61529 and 61537 and find the biggest common factor number .

Step-1: Prime Factorization of 61529

Prime factors of 61529 are 13, 4733. Prime factorization of 61529 in exponential form is:

61529 = 13¹ × 4733¹

Step-2: Prime Factorization of 61537

Prime factors of 61537 are 7, 59, 149. Prime factorization of 61537 in exponential form is:

61537 = 7¹ × 59¹ × 149¹

Step-3: Factors of 61529

List of positive integer factors of 61529 that divides 61529 without a remainder.

1, 13, 4733

Step-4: Factors of 61537

List of positive integer factors of 61537 that divides 61529 without a remainder.

1, 7, 59, 149, 413, 1043, 8791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61529 and 61537. The biggest common factor number is the GCF number.
So the greatest common factor 61529 and 61537 is 1.

Also check out the Least Common Multiple of 61529 and 61537