What is the Greatest Common Factor of 61488 and 61507?

Greatest common factor (GCF) of 61488 and 61507 is 1.

GCF(61488,61507) = 1

We will now calculate the prime factors of 61488 and 61507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61488 and 61507.

How to find the GCF of 61488 and 61507?

We will first find the prime factorization of 61488 and 61507. After we will calculate the factors of 61488 and 61507 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 61507

Prime factors of 61507 are 61507. Prime factorization of 61507 in exponential form is:

61507 = 61507¹

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 61507

List of positive integer factors of 61507 that divides 61488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61488 and 61507. The biggest common factor number is the GCF number.
So the greatest common factor 61488 and 61507 is 1.

Also check out the Least Common Multiple of 61488 and 61507