What is the Greatest Common Factor of 61332 and 61352?

Greatest common factor (GCF) of 61332 and 61352 is 4.

GCF(61332,61352) = 4

We will now calculate the prime factors of 61332 and 61352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61332 and 61352.

How to find the GCF of 61332 and 61352?

We will first find the prime factorization of 61332 and 61352. After we will calculate the factors of 61332 and 61352 and find the biggest common factor number .

Step-1: Prime Factorization of 61332

Prime factors of 61332 are 2, 3, 19, 269. Prime factorization of 61332 in exponential form is:

61332 = 2² × 3¹ × 19¹ × 269¹

Step-2: Prime Factorization of 61352

Prime factors of 61352 are 2, 7669. Prime factorization of 61352 in exponential form is:

61352 = 2³ × 7669¹

Step-3: Factors of 61332

List of positive integer factors of 61332 that divides 61332 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 269, 538, 807, 1076, 1614, 3228, 5111, 10222, 15333, 20444, 30666

Step-4: Factors of 61352

List of positive integer factors of 61352 that divides 61332 without a remainder.

1, 2, 4, 8, 7669, 15338, 30676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61332 and 61352. The biggest common factor number is the GCF number.
So the greatest common factor 61332 and 61352 is 4.

Also check out the Least Common Multiple of 61332 and 61352