What is the Greatest Common Factor of 61468 and 61488?

Greatest common factor (GCF) of 61468 and 61488 is 4.

GCF(61468,61488) = 4

We will now calculate the prime factors of 61468 and 61488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61468 and 61488.

How to find the GCF of 61468 and 61488?

We will first find the prime factorization of 61468 and 61488. After we will calculate the factors of 61468 and 61488 and find the biggest common factor number .

Step-1: Prime Factorization of 61468

Prime factors of 61468 are 2, 11, 127. Prime factorization of 61468 in exponential form is:

61468 = 2² × 11² × 127¹

Step-2: Prime Factorization of 61488

Prime factors of 61488 are 2, 3, 7, 61. Prime factorization of 61488 in exponential form is:

61488 = 2⁴ × 3² × 7¹ × 61¹

Step-3: Factors of 61468

List of positive integer factors of 61468 that divides 61468 without a remainder.

1, 2, 4, 11, 22, 44, 121, 127, 242, 254, 484, 508, 1397, 2794, 5588, 15367, 30734

Step-4: Factors of 61488

List of positive integer factors of 61488 that divides 61468 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 61, 63, 72, 84, 112, 122, 126, 144, 168, 183, 244, 252, 336, 366, 427, 488, 504, 549, 732, 854, 976, 1008, 1098, 1281, 1464, 1708, 2196, 2562, 2928, 3416, 3843, 4392, 5124, 6832, 7686, 8784, 10248, 15372, 20496, 30744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61468 and 61488. The biggest common factor number is the GCF number.
So the greatest common factor 61468 and 61488 is 4.

Also check out the Least Common Multiple of 61468 and 61488