What is the Greatest Common Factor of 61488 and 61492?

Greatest common factor (GCF) of 61488 and 61492 is 4.

GCF(61488,61492) = 4

We will now calculate the prime factors of 61488 and 61492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61488 and 61492.

How to find the GCF of 61488 and 61492?

We will first find the prime factorization of 61488 and 61492. After we will calculate the factors of 61488 and 61492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61492

Prime factors of 61492 are 2, 15373. Prime factorization of 61492 in exponential form is:

61492 = 2² × 15373¹

Step-3: Factors of 61488

List of positive integer factors of 61488 that divides 61488 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

Step-4: Factors of 61492

List of positive integer factors of 61492 that divides 61488 without a remainder.

1, 2, 4, 15373, 30746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61488 and 61492. The biggest common factor number is the GCF number.
So the greatest common factor 61488 and 61492 is 4.

Also check out the Least Common Multiple of 61488 and 61492