What is the Greatest Common Factor of 61464 and 61475?

Greatest common factor (GCF) of 61464 and 61475 is 1.

GCF(61464,61475) = 1

We will now calculate the prime factors of 61464 and 61475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61464 and 61475.

How to find the GCF of 61464 and 61475?

We will first find the prime factorization of 61464 and 61475. After we will calculate the factors of 61464 and 61475 and find the biggest common factor number .

Step-1: Prime Factorization of 61464

Prime factors of 61464 are 2, 3, 13, 197. Prime factorization of 61464 in exponential form is:

61464 = 2³ × 3¹ × 13¹ × 197¹

Step-2: Prime Factorization of 61475

Prime factors of 61475 are 5, 2459. Prime factorization of 61475 in exponential form is:

61475 = 5² × 2459¹

Step-3: Factors of 61464

List of positive integer factors of 61464 that divides 61464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 197, 312, 394, 591, 788, 1182, 1576, 2364, 2561, 4728, 5122, 7683, 10244, 15366, 20488, 30732

Step-4: Factors of 61475

List of positive integer factors of 61475 that divides 61464 without a remainder.

1, 5, 25, 2459, 12295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61464 and 61475. The biggest common factor number is the GCF number.
So the greatest common factor 61464 and 61475 is 1.

Also check out the Least Common Multiple of 61464 and 61475