What is the Greatest Common Factor of 61308 and 61328?

Greatest common factor (GCF) of 61308 and 61328 is 4.

GCF(61308,61328) = 4

We will now calculate the prime factors of 61308 and 61328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61308 and 61328.

How to find the GCF of 61308 and 61328?

We will first find the prime factorization of 61308 and 61328. After we will calculate the factors of 61308 and 61328 and find the biggest common factor number .

Step-1: Prime Factorization of 61308

Prime factors of 61308 are 2, 3, 13, 131. Prime factorization of 61308 in exponential form is:

61308 = 2² × 3² × 13¹ × 131¹

Step-2: Prime Factorization of 61328

Prime factors of 61328 are 2, 3833. Prime factorization of 61328 in exponential form is:

61328 = 2⁴ × 3833¹

Step-3: Factors of 61308

List of positive integer factors of 61308 that divides 61308 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 131, 156, 234, 262, 393, 468, 524, 786, 1179, 1572, 1703, 2358, 3406, 4716, 5109, 6812, 10218, 15327, 20436, 30654

Step-4: Factors of 61328

List of positive integer factors of 61328 that divides 61308 without a remainder.

1, 2, 4, 8, 16, 3833, 7666, 15332, 30664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61308 and 61328. The biggest common factor number is the GCF number.
So the greatest common factor 61308 and 61328 is 4.

Also check out the Least Common Multiple of 61308 and 61328