What is the Greatest Common Factor of 61524 and 61544?

Greatest common factor (GCF) of 61524 and 61544 is 4.

GCF(61524,61544) = 4

We will now calculate the prime factors of 61524 and 61544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61524 and 61544.

How to find the GCF of 61524 and 61544?

We will first find the prime factorization of 61524 and 61544. After we will calculate the factors of 61524 and 61544 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 61544

Prime factors of 61544 are 2, 7, 157. Prime factorization of 61544 in exponential form is:

61544 = 2³ × 7² × 157¹

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 61544

List of positive integer factors of 61544 that divides 61524 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 157, 196, 314, 392, 628, 1099, 1256, 2198, 4396, 7693, 8792, 15386, 30772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61524 and 61544. The biggest common factor number is the GCF number.
So the greatest common factor 61524 and 61544 is 4.

Also check out the Least Common Multiple of 61524 and 61544