What is the Greatest Common Factor of 61260 and 61272?

Greatest common factor (GCF) of 61260 and 61272 is 12.

GCF(61260,61272) = 12

We will now calculate the prime factors of 61260 and 61272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61260 and 61272.

How to find the GCF of 61260 and 61272?

We will first find the prime factorization of 61260 and 61272. After we will calculate the factors of 61260 and 61272 and find the biggest common factor number .

Step-1: Prime Factorization of 61260

Prime factors of 61260 are 2, 3, 5, 1021. Prime factorization of 61260 in exponential form is:

61260 = 2² × 3¹ × 5¹ × 1021¹

Step-2: Prime Factorization of 61272

Prime factors of 61272 are 2, 3, 23, 37. Prime factorization of 61272 in exponential form is:

61272 = 2³ × 3² × 23¹ × 37¹

Step-3: Factors of 61260

List of positive integer factors of 61260 that divides 61260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1021, 2042, 3063, 4084, 5105, 6126, 10210, 12252, 15315, 20420, 30630

Step-4: Factors of 61272

List of positive integer factors of 61272 that divides 61260 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 37, 46, 69, 72, 74, 92, 111, 138, 148, 184, 207, 222, 276, 296, 333, 414, 444, 552, 666, 828, 851, 888, 1332, 1656, 1702, 2553, 2664, 3404, 5106, 6808, 7659, 10212, 15318, 20424, 30636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61260 and 61272. The biggest common factor number is the GCF number.
So the greatest common factor 61260 and 61272 is 12.

Also check out the Least Common Multiple of 61260 and 61272