What is the Greatest Common Factor of 61524 and 61532?

Greatest common factor (GCF) of 61524 and 61532 is 4.

GCF(61524,61532) = 4

We will now calculate the prime factors of 61524 and 61532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61524 and 61532.

How to find the GCF of 61524 and 61532?

We will first find the prime factorization of 61524 and 61532. After we will calculate the factors of 61524 and 61532 and find the biggest common factor number .

Step-1: Prime Factorization of 61524

Prime factors of 61524 are 2, 3, 1709. Prime factorization of 61524 in exponential form is:

61524 = 2² × 3² × 1709¹

Step-2: Prime Factorization of 61532

Prime factors of 61532 are 2, 15383. Prime factorization of 61532 in exponential form is:

61532 = 2² × 15383¹

Step-3: Factors of 61524

List of positive integer factors of 61524 that divides 61524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1709, 3418, 5127, 6836, 10254, 15381, 20508, 30762

Step-4: Factors of 61532

List of positive integer factors of 61532 that divides 61524 without a remainder.

1, 2, 4, 15383, 30766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61524 and 61532. The biggest common factor number is the GCF number.
So the greatest common factor 61524 and 61532 is 4.

Also check out the Least Common Multiple of 61524 and 61532