What is the Greatest Common Factor of 61268 and 61288?

Greatest common factor (GCF) of 61268 and 61288 is 4.

GCF(61268,61288) = 4

We will now calculate the prime factors of 61268 and 61288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61268 and 61288.

How to find the GCF of 61268 and 61288?

We will first find the prime factorization of 61268 and 61288. After we will calculate the factors of 61268 and 61288 and find the biggest common factor number .

Step-1: Prime Factorization of 61268

Prime factors of 61268 are 2, 17, 53. Prime factorization of 61268 in exponential form is:

61268 = 2² × 17² × 53¹

Step-2: Prime Factorization of 61288

Prime factors of 61288 are 2, 47, 163. Prime factorization of 61288 in exponential form is:

61288 = 2³ × 47¹ × 163¹

Step-3: Factors of 61268

List of positive integer factors of 61268 that divides 61268 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 289, 578, 901, 1156, 1802, 3604, 15317, 30634

Step-4: Factors of 61288

List of positive integer factors of 61288 that divides 61268 without a remainder.

1, 2, 4, 8, 47, 94, 163, 188, 326, 376, 652, 1304, 7661, 15322, 30644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61268 and 61288. The biggest common factor number is the GCF number.
So the greatest common factor 61268 and 61288 is 4.

Also check out the Least Common Multiple of 61268 and 61288